{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 案例1: 检测异常服务器\n",
    "## 数据集：data/ex8data1.mat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy.io as sio\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_keys(['__header__', '__version__', '__globals__', 'X', 'Xval', 'yval'])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mat = sio.loadmat('data/ex8data1.mat')\n",
    "mat.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((307, 2), (307, 2), (307, 1))"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X = mat['X']\n",
    "Xval, yval = mat['Xval'], mat['yval']\n",
    "X.shape, Xval.shape, yval.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(X[:,0], X[:,1], 'bx')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. 获取训练集中样本特征的均值和方差"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def estimateGaussian(X,isCovariance):\n",
    "    means = np.mean(X,axis=0)\n",
    "    if isCovariance:\n",
    "        sigma2 = (X-means).T@(X-means) / len(X)\n",
    "    else:\n",
    "        sigma2 = np.var(X,axis=0)\n",
    "    return means,sigma2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 1.83263141, -0.22712233],\n",
       "       [-0.22712233,  1.70974533]])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "means,sigma2 = estimateGaussian(X,isCovariance = True)\n",
    "sigma2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.83263141, 1.70974533])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "means,sigma2 = estimateGaussian(X,isCovariance = False)\n",
    "sigma2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. 多元正态分布密度函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "def gaussian(X,means,sigma2):\n",
    "    \n",
    "    if np.ndim(sigma2) == 1:\n",
    "        sigma2 = np.diag(sigma2)\n",
    "     \n",
    "    X = X - means\n",
    "    n = X.shape[1]\n",
    "    \n",
    "    first = np.power(2*np.pi,-n/2)*(np.linalg.det(sigma2)**(-0.5))\n",
    "    second =np.diag(X@np.linalg.inv(sigma2)@X.T) \n",
    "    p = first * np.exp(-0.5*second)\n",
    "    p = p.reshape(-1,1)\n",
    "    \n",
    "#     m = len(X)\n",
    "#     second = np.zeros(m,1)\n",
    "#     for row in range(m):\n",
    "#         second[row] = X[row].T @ np.linalg.inv(sigma2) @ X[row]\n",
    "#     p = first * np.exp(-0.5*second)\n",
    "\n",
    "    return p"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. 绘图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plotGaussian(X,means,sigma2):\n",
    "    x = np.arange(0, 30, 0.5) \n",
    "    y = np.arange(0, 30, 0.5)\n",
    "    xx, yy = np.meshgrid(x,y)  \n",
    "    z= gaussian(np.c_[xx.ravel(),yy.ravel()], means, sigma2)  # 计算对应的高斯分布函数\n",
    "    zz = z.reshape(xx.shape)  \n",
    "    plt.plot(X[:,0],X[:,1],'bx')\n",
    "    contour_levels = [10**h for h in range(-20,0,3)]\n",
    "    plt.contour(xx, yy, zz, contour_levels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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h9LpLyEjMQrXGVVC9iSPsHMvBztEG9drVhlV5CzW/EjnvA6Nxbc8dhL94h+g3cZ+U17WqYAEzG1MYW8i3djP5sMWbgYkBdPV1FFvBFW0LV1RT3L5meZSrbP1NXEB5WQK8fxUNYb7on5K4YnlilLBAhEKBEIV5hfJzvhB5GQKkxWcgLS4DuRl5CjsaGjzUbVMLLT5shFG5TsUSeT2C7Hy88nmNmJB4hD57i5An4cjLksehG1sYoX3/lhi6yF2lBW1RoQiPz7/A5R03EfwwFMYWRnAd3xV9JrmU6MTgZ0atgs7j8bQBXAZwg4jWfeZ5BwCXiajel+yUpRn6qlVAs2ZAx47//M7HB3jxApg1S3k7qbFp2DZlPx6ffwH7WhUwacvIYmdvCrLzcWHLdZzdeAW5GXlo1LEuPOb1R+Nf65WoGIpFEjw8/QwXt99AyJNw6Ohpo07rmnCoa48q9SrBoZ49KtepCEPTnytDUVQoQlp8JlJj0hB0PwTPr/rjXUAUAMDWwRotejih28hfUa1RyRU9YxgG8W+TEPIkHIH338Dn+GNo62ph4Oy+6D+tp8rb54U8DcfJ1Rfw+PwL6OrroKtXRwya358rEKZm1LkoygNwEEAmEU356Pd2RJT04eepAFoQ0cAv2SpLgu7jA7i7AydPykX934+/RkZSFq7svIVTay6CiOC5kI/+03qqvMiZn1uA8BfvEXT/DS5suQ5Bdj5a9GiCQfP6oU6rmirZ/C8K84XITMqShzB+OCdFpuDeicfISc9Dhep26DWuCzoP61Ci7oUfmbT4DPhe9cezK34IuB0MUaEYDTrUQeNf68PUyhgmViawqmABxwaVSsSdER+RhD1zjuDxOV9YV7RE74kuqNWiGuq1raXSHWFsWAJOrb6A20ceQEdfB4Pm9UdXr1+4GbuaUKegtwXwEEAw5GGLADAPgAeARpC7XKIBjC0S+P+iLAk68I+Ie3sD27crJ+YymQwXt97A/gXHUSgQok2fZvBe76VS8aSXNwNx/+QThPlGIOZNvGKRsJlLY4z4y0NtMz6JWAK/m0Hw+fsRXlwLUNy6f4y2jhaa92iCXuO6oHGn+j9U6v63Ji9LgOt77+LSjptIikz55Dkej4eKNcujepMqqNbYETWcHFGrRTW1LVwHPQjB7tlHEPY8AgDgUNceXn95oFWvpirdzcVHJGHrb3vx8kYgtLQ10bJXU3Tz6oimXRtxC6jFgEssKiV+/x1YsgRYuBBYvPjL10b4R2L92J2I8ItEs26N4L1+OOxrVmDdZ+L7ZGyfdgDPLvnB2NwQtVrWQO0W1VG7ZQ3UbFZVLdmaDMMg+GEofI4/xoPTT5GXKYCxhRFauzZDxRp2sCxvId+dyM4cluXNv9vwxh8NiViC3AwBctNzkRydhncBUYjwj8Q7/yikxcsXZs1sTOE+szd6jusMfUM9tfSbnZYDv5tBOLz4FBIiklCnVQ2MWDYIDTvUVcle1OtY3NjvgztHHiA7LRfW9pYYv8ELbfu2UMt4fzY4QS8FlJ2hFwoKcfD3Ezi36SrMbEwxfoMX2ru1Yi2AhflCHF92FqfXXoKWjhYGL+Cj35TuxY5F/xipRIqbB+/j+LIzSI5Og56BLlr3aYZfPdqiSecGau2Lgx1ZqTkI932Hc5uuwP92cIkIu1Qixc0D93Bo0UlkJGahWbdGGPHXIJU3NZGIJXh+xR+HF59CZGAMWvduhombR5Z6bf0fHU7QSxhlfOhEhIdnnmHHtINIT8hEz7GdMWLZINZxwcnRqTi74Qrun3qKzKQsdPJsh1ErPNUSoZIcnQr/28FIeJuIuLeJiPCLRHpCJmo1r4a+k3uglWtTtYlFcSkKKywKeRQViD6pZS4uFEMskoCRMWBkDGRSRvEzAID3z65F+HDW0tZSRNEUxZfr6GnDwEQfBiYGMDTRV/ysq6/z3dyFvH4UisOLT8H/djBMLI1Ro6kjareogQYd6qB2y+rFdsmICkW4sOU6/l5xDoLsArRybYr2/FZo2bOJSovaUokUZzdcwaE/T0JTSxPuM3uj7+TuMDDmwh2VgRP0EuZrUS7pCRnYPHEvnlx4gWqNq2DSlpGsFyclYglOr72Mo0tPg2EIjTvVg8ecvqjXVvX07iLiI5JwfPlZ3D78AIyMgbauNipUs4V9rfLoMqwjWvRQX3ldZSEipMVnyMvvfijDGxeegMykLORmyGPVP078KW30DHVh/SGe3KaiJaztrWBT2Rq1W1RDpdolE374NV4/DsPlnTflMfPBsWAYgraOFmo2r4YG7eugWbdGxfq8CLLz8feKc7h95AEyErOgraMFpy4N0bZfC7Tt25y1uCdFpWDHtIN4cuEFTK2MMeQPd/Ty7sKtuXwFTtC/EQzD4Mqu29gz5whkEhmGLR6IfpO7s14QCrgbjM0T9yIuLAFt+7WA97phaqm4FxuWgGPLzsDn2CNo6Wih51h5gS27quW+SYW9vCwBHp9/gQenn+L1w1AUCoSK54zNDWFfqwKs7S1hYiFPzTexNIaxpRFMLIygZ6in2A+06KytqyVP69fUgIaWpvysKRcLIgIRPtq1SD6Ll4gkithyiVgKcaEYBXmFKMgtOgqQn1uIrORs+TZ4H0oOZCVnKxaizaxNUL9DHTTsUBcNf6lbYvHlXyI/R16XPuh+CIIehOCtXyQYGYMmnRtgzKohqNrQQWXbDMMg7HkEHpx+hkdnnyMlJg1m1iYYs2YonD3bs36toc8jsG/eUbzyeYM6rWti2u5xqFy7osrjK+twgv4NiAtPwPoxOxH8MBRNnOtjyo6xsHMsx8pGRlIWds08hLvHHsHOsRwmbBqBFt2bFHtsMaHxOLLkNO6feAJdfR308u4C/vRepVopkYiQn1OAnPRcvH4Uhgenn8L/VhCkEhlsHazRvHsTONS1l+9pWrsCzGxMvxsXx+eQiCVIiU5D8MNQBD0IQaDPG8XCpYWdOToObIMO7q1hU8kKxuaGpV7MrCCvENf33cWRJachyMpH52EdMOR3t2JXTiQihD57i50zDiHk6Vs0/KUuJm0dxVqQiQi3jzzA9qkHIBQIMWh+fwyY3Ztbp/kMnKCXIjKpDCdXX8ThRSehZ6iLsWuHocuwX1iJkVgkwem1l3B82VnIpDIMmN0HA+f0UdkXmhqXjsB7bxDo8waB998gOSoVeoa66DPRBf2n9Syx+GCGYRAbmoCQJ+EIffYWqR8KZuV8OD5O7y9X2Rod3FqhvVsr1Gha9bsWb2UgIiRHpSLw3hs8vfQSvlf9P3m9OnrasKpoiQrVbFG+qi0qVLdD+Wq2sK9ZHnaO5Urs9edlCXB82Vmc33wNErEUtlVs8It7awyc27dYW/sxDIPre+9iz5wjyM8pQJt+LcCf1ot1mYqs1Bxsm7wP9048QfUmVTDnyGRUqsU++qsswwl6KREZFIM1I7Yiwj8K7fq3wMTNI1nPen2vBWDr5H1IfJeMdv1bYOTywahQzU6l8fheC8CeOUcQFRwLQO62aNChDhr+Ug8d3FuVyIw86nUsHp/zRcjTcIQ8fauoIWJqZYwK1e1gam0CUysTmFmbKH6uVLtCmRDxL5GbkYdXPq+Rk54HQVY+8jLzkBqXjsR3yUiISP5ki77qTarAdXw3dPRoU2LF0VJi0vDo7HO88nmNZ5f9YGFrhhHLBqHz0A7F8mFnpebg7PrLuLzzFgTZ+WjbrwUmbBrBetH+0bnnWD9mJ0QFIoxa4QnXCV053/oHOEEvYSRiCY4vO4djy87C2MIIk7aMRHt+K1Y2Pl4gqljDDhM2jUTTLqptUJHwLgk7ph3Es8t+qFjDDj3HdkHDjnXh2KByifxTEBGCH4bixKrz8L0aAB6Ph8p1K6JuK3kBqLptaqJ8VdsyLdjFgYiQnZaLxHfJePvyPa7uvo3oN3EwtjBCN6+O6OXdlbW7jg1hvhHYOnk/wp5HoGazqhi/cUSxCsAB8vDcc5uu4ejS09DW1caoFZ7oProTq89femIm1o3ajhfXX6F++9qYvsdb5clNWYIT9BLkfWA0Vg3bgsigGHQa3A7e64fD1MpE6fZSiRQnVl3Asb/OQENDA4MX9Ee/qT2ho8ved5gUmYLLO2/h3MYr0NLRgudCPvpOVm9sehH5uQXy0rXhibh77CFCn0XAzNoEfSZ1R89xnVm9BxyfQkQIuh+CC9uu4/E5XxBDaNGjCdr0aY5KtSvAvlYFtW/vxzAM7h57hD1zjiAjUR4OO2BWH1SpV6lYdhPeJWHDuF14dfc16rerjck7xrDyrxMRbh68h+1TD0AqlmLUCk/0ntjtp54ccIJeAsikMpxacxGH/jwJYwsjTN4xBq1dm7Gy8S4gCqtHbEVkYAza8Vti3NphsLG3Yj2WxPfJ2Dp5H3yvBgAAnIe0x6gVnmotiiQWihHy9C0C7gQj4G4wwl+8V8R02zmWA39aL3T1+uWb1E8vy6TFZ+DKzlu4tOPmJ5UazWxMYV+rPFr2cEKv8V3Vlh9QKCjE8eXncHrdZUhEEtRpVQPdRzujg3trlYt2FYnyzhmHUJhXCLcZrvBcyGe1MJyekIH1Y3fC92oABs7ugxHLBv20os4JupqJC0/AquFbEfY8Au36t8Bv20azWlgUiyQ4tvQM/l55HiaWRpi8fQza9GnOehxikQQnVp7H8eXnoK2jBfeZvdF5aHu1biIc/vI9jiw5Bf9bQRALJdDQ1EDNZlXR+Nf6aPhLXVSqUxGWduY/7T9XaSGTypAcnYq4sETEhSUgNiwBUcExCH/xHublTDFoXn90H+Os0p3d58hJz8WtQ/dxdfdtxIUnwsBEH50Gt0evcZ1RpX5llWxmp+Vg18zDuHXoPuxrlsf0veNRt7Xy+RgMw2DT+D24susW+kx0wbh1w37KmjDKCvqH2NzSOZycnOhHQyaT0el1l6i7vgf1tRxOd48/IoZhWNkI842gUfWmkjOPTyuGbqKcjFyVxuJ3K5CG1ZhEzjw+LR24jtISMlSy81/EhsXTIrc15MzjU39rL9ry2156cvEFCbIFau2Ho3gEPwqlab/8Ts48Pg2qPI6u7rlNUolUbfYZhqGgByG0Yugm6q7vQZ013Gj92J2Um5mnss0XN17RYAdv6qzhRlsn76MCQSGr8Wybsp+ceXya2GIOxYTGqzyOHxUAL0kJjeVm6F9AVCjCQteVCLgTjJa9nDBlx1hWLg2JWILDi07hxMrzMLc1w9SdY9GihxPrcSRFpmD37MN4eOY5ylezxaQto1RePP03qbFpeHjmOQLvv8HzK/7Q1dcBf1ov9J/Ws1ghbSWFWCRBdmoOctPzUCgQQvjR3qHCfBHEQrEi5V8mlUEmlYGRMSAiaGhoyO8qeJD/rMGDto4WtHW1oa1bdNaGroEOjMwMPxwGMDQzhL6R3ncVcUFE8L8dhAML/0aY7zvYOZZDu/4t0bx7Y9RtXVNt2+HlZQlwdOkZnNt4BSZWJhi2aAC6jeiokv2CvELsnXsUF7fdgJ1jOfxxZgarZKd7Jx5j04Q9EBWIMOvgJHRwYxeE8CPDuVyKSWRQDFYM2YSo4FhM2TEG3Uc7s3IxxITGY+WQTYjwj0KX4b/Ae91w1jVcZFIZzm64goN/nICGpgbcZrhiwKzeaklQyc8twN/Lz+HMhiuQiCSwcyyH1r2bYcDsPjC3+XY1rIkImcnZeP8qGpGB0XgfFIP0+AxkpeQgOzVHERJZ2mho8GBhZw7bKjbyHZ+qlIOtow0qVLNFdSfHb5YMQ0R4euklzm28guCHYZBJZTAw0YdT5wZo1q0xWvRoopZQ1XcBUdjy2168eRyOCtXt4LVkINrxW6r0JRf0IAQrPDchL0uA2YcmsarAmJGUhcVuaxHx8j1W3FyIBu3rsO7/R4QTdBWRyWQ4vfYyDiw8DmMLI0zfO55VpiYR4cKW69g9+zD0jfQwZedYlUqGvguIwrrR2xHhH6XWCnUymQw39t/DgYXHkZWSA+ch7TH0D/cSDZH7GikxafD5+zFe+bzG+1fRyE7NUTxXrrI1bKvYwLycKcysTWFWzhTmNqYwtTaBvpEe9Ax1oWugqzjr6GlDU0vzwyFP+y+amX98awoCZDJGsY2c/JBCLJJAmC9Cfk4B8rPzIcjOhyC7AILV1Dg2AAAgAElEQVQsAdISMpAclYrkyFSkJ2Qq0v71jfTQpHMDNHdpguYujWBV4dtUEszPLUDAnWD4Xg3Ai+sBSE/IhLaOFvpN6YFB8/sXuxAWEeHZZT/sm38M0a/jUKdVDXnKfh171rbSEzPxR59VePvyPToP64Dx672UnvDkZuZhSpsFyE7NwYbHf/0USUicoKtAUlQKVg/fiuCHoWjbrwWm7BjDKhQvPTETa0Zsg9/NQDRzaYwZe71Zz46EBSIcXnQKp9ddgpm1CSZuHom2/VqoZQEy4G4wdkw/iMjAGNRtUxPe64ajZrNqxbbLFplMhsykbDy9+BI+fz/C60dhAADHBpVRvYkjqjZygGPDyqja0EEtO9aXBGKhGCkxaYgJicfLG4Hwveav2EjasWFltOrZFB0HtUXFGnbfpEYOESEqOBan11/CrYP31ZZEBMj/frcPP8CumYdRkFuAQfP7Y+CcPqzvUiRiCY4uOYPjK87B0s4cU3ePQ7OujZRqmxSZgt9azYOekR42PV32Te8qSwNO0FmSm5GHkXWmQCyUYOLmkXAewq7g0MubgVg1bDMKcgsxdu0w9BzbmbUIBz8MxZqR25D4LhkuIzth9CrPYscei4Vi3D/1FBe3XkeY7zvYOlhj1ApPleqxsyUnPRdRwbGIf5uE+PAExEckIf5tEpKjUiGTylPiHerao6NHW3Qc2Oab3iUUFyJC9Js4+F4NwPOrfnjzKAwMQ9DQ1IClnTmsKlrAqqIlqjZwQKNf66Fms6pq83N/jY+TiMpVtkbX4R3hMrpTscsvZ6flYNuU/fA5/hjVGlfB/L+nomJ19klA4S/eYdXwLYgNTcD0vePRzUuJPRwhf10zOv4J2yo2WHBiGhzqsr9T+FHgBJ0lG8buxLV9d7Ht5UpWCzXCAhH2zD6CC1uvo1LtClh4cjrrD5awQIR9847h/OZrKOdgjel7vNGo4xf32/4qKTFpuLzjJq7tvYOc9DzY1ywP1/Hd0H10pxItEkUfEmQubr+Bx+d8FcKtq6+DCtXtULFmeZSvagurChao3642HBuoFg73vZOekAHfqwFIjU1HWkIG0uMzkBqbjoSIZBAR9Ax1Ub+9fA/Rxp3qoWpDhxL9gmUYBg/PPMfV3bfgfzsY+kZ6GPqnO/r+xr4S6L95cuEF1ozcBqlYisnbx6DT4HasbYiFYix0XYHAeyFYdm0+mnRSbqN0/9tBWD54IwryCjFm9VC4ju9aJsNpOUFXElGhCLtmHsbFbTfQf0oPjFs3XOm24S/fY+WQTYgLT0Tf37pj5PJBrJNsgh+GYs2IrUh8nwLX8V0xasXgYm0KnBSVgt2zj+Dx2ecAgFauTeE6vhsad6pfoh/0/NwC3Dp0H5e230BsaAKMzQ3RZXhHNHdpjIo17GBV0fK7ihL5VuRm5CHw3hsE3H2NVz6vEReWAACo1bwaBs7pi1auTUv8fUp4l4TtUw/g+RV/ODaojN+2jWYVG/45UuPSsXzwRrx+FIaOHm0wcdNImFiy2yA8PycfU9ouRFp8BpZfX4DaLaor1S4rJRurR2zDi2sBaNGjCabvHV/mXDBcHLoSRIfEKeLDt0/dTyKhWKl2DMPQkaWnqav2APKwH0t+twJZ9y0Simnr5H3UWcONPB3H0yuf16xt/Nve8eVnqYfBIOppNJj2zDlCKTGpxbL51T4LRRT0IIS2/LaXehoNJmcenyY0n03X998lYYGwRPsuK6QlZNCFrddpSNUJ5Mzj08i6U+ji9hsU9TqWpFL1xZb/G4Zh6OHZZ+RhP5aceXxaM3IbZaZkF8umVCKlQ4tOUlftAeRmO5KeXfFjbSM5OpUGVR5HXbTc6fDiUySTyZRqxzAMnd14hVz0PIhfbiT53Q5i3ff3DJSMQ/9pBT0rNZs8Ko0lfrmR5Hs9gFXbSztuKpJ7VEm2SIpKoSntFpAzj0+bJ+6hgrwC1jaKYBiGnl56SUOrTyRnHp/+6LeKUmLTVLb3JSRiCT2+4Es7Zxyk31rPo246A8iZx6eu2gNo5bDNFOYbUSL9/gxIJVK6c/QBjaovn2A48/jEtxlBe+YcoeTokvtiLsgroF0zD1EXLXfqZexJp9ddKvYXSURAJI1pOJ26aLnT/VNPWLfPyxLQssEbyJnHpw3jdiot6kREkUHR5FV7MvW1HM4qeel7hxP0LyCVSmmm8yJy0fOg8JfvlG4nLBDSpgm7yZnHp5nOi1h90Ijk4nt9/11yNRlCriZD6M6xh2yH/glx4Qk012UpOfP45FV7Mvle8y+Wvf+CYRi6d+Kx4kvDRXcgTW47n3bNOkxPLr6gnHTVMl85/h+GYSg6JI5uHrxHf/RbRV003aiLphst7L2CXtx4xfozpyyxYfE0v+cyeTZmy7kUGRxTLHsFeQU0ue186qo9gB6f92XdnmEY2jP3KDnz+LR+LDtRD34USs48Pv3Zf3WZyXLmBP0L7JlzhJx5fLq2947SbSKDYxSzpx3TDyrtnikiKzWb/ui3ipx5fJraYSElRaWwHbYCqURKx5efJRc9D3I1HUKn110iiViisr0v4X8niMY3m03OPD6Nqj+VHp/3JVGhqET64vh/UmJSae+8o8S3GUHOPD4NrzmJruy6pdZU/yIYhqE7xx5Sf2sv6qYzgA79eZLEInaf848R5OTTxJZzqZvOAHp66aVK49k774Ooj9nBStRPrr5AXbTcydNxPIU+f8u67+8NTtD/g2dX/BQfEGV5fMGXXPQ8yM2WvXuGiOit33tysx1JLroD6eTqC8W6pU2MTFYI7J/9V1NGUqbKtv4LmUxGPn8/ohmd/lTUC7l58F6J+nQ5voxIKKbbRx7QxBZzFL72C1uvF6u+yn+RnZZDyz03yr/E602lyKBolW3lZQlofLPZ1FV7AJ1cfYF1HSSGYWjf/GPkzOPT1sn7WLV98ySMBjt4U1ftAXTr8H1Wbb83OEH/DJHBMTTYwZs8q3grPcMWi8TkWcWbxjScrtKiUVZqNnlW8SYP+7H0PlD1fwwiooC7wdTPyov6mA+jeyfZ+yaVIehBCHk7zVQI+ck1F7kZ+XcEwzD04MwzGtNwutz9pedBSweuI9/rAazF8ms8u/yS3O1GUXd9Dzqz4bLK7p68LAH92X81OfP4tGTAWta+bYZhaON4uatz18xDrO5GczPzaGr7heRqMkTtxexKE07Q/8XNg/eoh8EgcrMdScGPQpVud2X3bXLm8VVasX/l85oGVhxDLroDKeSZ6rd9DMPQ+S3XqIuWO42oM5ni3iaqbOu/SIxMpsXua8mZxycP+7F05+iDEvPXljZikZhEhaIy83qI5J+Jt37vafPEPdTXcjg58/g0pd0CevcqSq39ZCRlKnzrM379Q+UFWoZh6O+V56mLphuNqj+V4iPYfYZFhSLaMG4nOfP49FvreawiuOIjEhVffD8qygp6mY9DFxWKsPW3/bi29w4a/lIX845NVjodXyqRwqvmbzC1NsHmZ8uVjuOWSWU4vOgUji07iwrVbTHv2BRUb+Ko0vhzM/OwecIe3DvxBC17OmHOkd/UWgWxIE++ucGZ9ZehqakB91m94TbDVeWNDUoTmVSG3EwB4sISEPMmDtFv4pAam468LIF8D8+sfORn50NUKFa00dTShLaOFrR0tKCjpw3LChawdbBGuco2KFfZGuUcrOWbN1ctV2qZnMVFLJLg9uEH2DfvKPIyBXCd0A3DFw+Aoal6yiYQEa7vu4vtUw+Ax+PBe4MXug5ntwl6EX63AvGXxwYQQ5h7dDKauzRm1f7eicdYP2YnNLU0MPPARLTq9fXQbAA4vPgUDv15EituLIBTZ/VUKi1NuMSiDyx2X4uHp5/BY25fDFs0QOmsOIlYgs0T9uLa3jtYenkuqwJdq4Zvwa1D99F1eEdM2OSlcqJQ/NtEzOm6FOkJmRjyhxsGzumjtrogRIS7xx5h16zDyEzKQuehHTDiL49vVljq3+TnFiAqKAaRQbFIi0uXV1tMk1dczErJQU5a7idCDQAGxvqwq1oOxhZGMDY3hKGpofxsZghNTQ1IRFJIxBJ5QS6xFKICMdLi05ESk46U6FSIhZJP7OkZ6spL6JrLS+laVbCAbZVysKtiA1vHcrBztIGNvdV3s+FCbmYeDiz4G5d33oKplTE8f3dDjzHOavtiSo5OxWqvrQi6H4Je3l0xactIlUQ9KSoFf/ZbjaigWKy4sQBNnBuwap/wLglLB6zHu4AopQVaLJJgTIPp0NHTxq7AtazH/K1Rm6DzeDx7AIcA2AJgAOwioo08Hs8CwAkADgCiAbgTUdaXbJW2oCdFpmBY9UkYMLsPRi4bpHS7tPgMLHFfi9BnEXCf4YpRKz2V/uC+uB6Aed2XYdC8fvBa6qHq0PHuVRTmdvsLIMKSS3NQq7lyWXPK2t762z68fhSGGk2rYuLmkUpn5ZUERITwF+/gdzMI7wOj8P5VNBLfpyie19LWhJmNKcxsTOVVF21MYWplAgMTfRiaGsC+ZnlUrmsP64qWKmfDEsk3bU6JTkVsaALS4jIUM31BTj7yMgVIj89ASky6opxB0djqtauNFt2boHn3JrCvWf6bp56/9XuPXTMPI/DeG1SsYYcpO8eiYYe6arHNMAz2zD6CU2svofeEbhi7dqhKpYML84UY13gmctPzMPPABNZbOYqFYnhWGY/aLWtg0blZSrW5sPU6tkzaC/eZvTFimcc3KZqmKuoUdDsAdkTkz+PxjAH4AegDYDiATCJawePx5gAwJ6LZX7JV2oK+a+YhnNlwBUejtyk98wy4G4xlHhsgKhRjxr7xaM9Xvoh+Yb4QY+pPg46+Drb7r1Z5a7DXj8OwoOdyGJjoY+XNhbCvqZ7yoLmZeTiw8ASu7LwJYwsjjFg2GN1GdPxmKfl5WQLcOfIQV/fcRlRwLACgfDVbVG3kgKoNHVCtkQMcGzrAqoLFNxfJImRSGdITMpEUmYKkyBTEhMTD72Ygot/EAZDvtdrcpTFa926GRr/W+2bvLRHB96o/tk7ej6TIFPQc2xmjVnqqxV1HRNg5/SDObLiCGk2rYu7RySoV5UqKSsES93WI8IuE+wxXeP3lwepuYveswzi9/jKOx+1Qyo0qEUuwbfJ+XN55C02c62P+8amsyxN8K0os9R/ABQCdAYRDLvQAYAcg/GttS3NRtDBfSH0thtFi97VKtzm5+gJ10XSjEXUmq7TN1fZpB8iZx6fghyGs2xbx4sYr6mEwiIbXnKS21H2GYejW4fvUz8qLumi60ZZJe0sk3E0ZBDn59PTSS1ruuZFc9DzImccn76az6NKOm5SX9eMmgSRHp9LFbddpQa/l1MNgkCJm/Mz6yxQTGv/NFmQLBIW0fdoB6qLpRh72Y9WafPbgzDPqazGMehl70u0jD1SyISoUKSJYJredT+mJyofhxoTGkzOPT8dXnGPV57W9d8hFz4MGO3irfRG5pEBJRLlA7l6JBWACIPtfz2X9R5sxAF4CeFmpUqXSefVEdG3fXXLm8ZWu6RAZFK2I7Wabis8wDJ3ZcJmceXxaN3q7KsMlIqI7Rx9QD4NBNKaRaiGSn6MwX0grh29WRAcUN3SSLVKplEKfv6UjS07TlHYLqIuWOznz+NTbbChtHL+bIvwjS3U8pYGwQEi3jzygSa3mKtL4+1oOp/k9l9G1vXeKlayjKiHP3tLIulPImcen/QuOqy2nICU2jaa2X0jOPD4FPVB9InPn2EPqaTiY/ui7klW76R3/IBc9D/L5+xGrdmG+ETSw4hgaXnPSD5FfoXZBB2AEubul34fHSgn6x0dpzdBvHb5PLnoe5FXrN6XjzY8tO0vOPD6rGQKRXDCXD5EnYfzRd6VKdVlEQjFt9N6lCD3LTM5ibeNzxIUn0OgG06izhhvtX6i+f2JliA2Lp5XDNytC6opm4nvmHqWAu8E/TfGuuPAEurbvLq0dtV2xwbeH/Vg6s+FyqdcaERWKaM2IrYrSFWnx6WqxWyAoJE/H8TS0+kQqzFf973rg97/JmcdnVXYgMzmLJredT848Pu2bf4zVndC9E4/JmcenB2eeqTLcUkWtgg5AG8ANANM++t1353KRyWSKtP7pHf9gVWNkctv55O00k1V/SVEpNK7JTOqs4UZHlpxW6bY6MTKZvJvOUilp4kvcO/mEXE2GUD8rrxKr8fI5kqJSaJXXFuqi6UY9jQbTyuGb6c6xh5SVqp47jh8ZhmHI93oATe0gn9H2s/KiI0tOl6r7i2EYurrnNvU0HEx9LYapVDzrc/jfCZJXLZ12QGUbOem51MvYk/4atJ5VO7FITGtHbSdnHp8WuC4nQU6+Uu2kUikNrTaBJjSfrfakLHWjNkEHwIM8ymXDv36/GsCcDz/PAbDqa7ZKUtAZhqFFbmsUxXzYCOOjc8/lt6ILjyvd5n1gNPWz8qLeZkPp2WX2dSqI5KnJfcyHUW+zofT4AvsCRp9DKpEqfPmTWs0tscqL/+at33taN3o7ddMZQC56HrR96n61uY3KIsGPQhUJO64mQ2jvvKMlUsbhv4gLT6AJzeUlJNaO2q6Wu7f1Y3dSZw23Yn2Wd806TF003Sj6TSyrdgzD0LnNV6mLljuNrDtF6fWYyzvllVP973zf5XbVKehtARCAIACvPhzdAVgCuAMg4sPZ4mu2SlLQ/W4FkjOPT4f+PMnq2/bGAR/qoulGE1vMYTWjXzlsM/U2G6py1ibDMDS+2WwaVHkcJb5PVsnGv0lLyFDM/jZN2F0qvtqo17GKmi/d9T1o/didlBqnnlv5n4GIgEhaxF9NnTXcyEV3IK322lqs2ilskIgltHv2YcV+AMVFkJOvuGNVpW4LkTwztZexJw2qPE6l9+HppZesCu+JCkXUTWcA7Z59mHVfpUmJLIoW9yhJQZ/rspTcbEeyqjtybtNVhT+Rje9bVCgiV9MhtNprqypDJSKiJxdfsK74+CVe3HhFfJsR1NNwMN08dE8tNr+EIFtA26fupy5a7tTXYhidXnfpm0XOlAXiwhNo4/jdigiZWV0Wl9omDVsn7yNnHp/ObLhcbFsFgkJaxJfXbVk5fDPrqqREROEv39GACqPJ1WQI65IbDMOQR6Wx9Ee/VUq3GVV/Kk375ffvujTETyXokcEx5Mzj05Glp5W6nmEYOrLkNDnz+PR7n5Wsi08VuWhe3HilynAp8P4b6m/tRUOrTSi2z1wqldL+Bceps4a8RkZ0SFyx7H0NhmHo5sF75GY7kjpruNH6MTsoOy2nRPv8mchJz6Wjf50hd7tRiqirkr7jkUql9Ee/VdRZw43ObrxSbH+yTCZTLHD+1ma+Sov8afHpNK7JTOqi6UbnNl1l1XbDuJ3U02iw0l8mR/86oygc9r0WovupBH2j9y7qaThYaZfJjQM+5Mzj04qhm1jXlRYJxTS1w0Lqb+2lUk3qZ1f8qKv2APKq9RvFhSewbv9vinZ2WTNia7EiDJQhJjResdPSxBZzuB2KShCRUEzHlp2l7voe1MvYk67sulWiC3fCAiEtcF2u8KmrY7Z67+QT6mEwiLxqT1bJR1+QV0C/91lJzjw+Xd1zW+l2zy7L3S4vbyo34WIYhk6uviBfVO21/LtcIP2pBH1KuwU07Zfflb5+TrclNKzGJNYf2vzcAprpvIiceXy6uO0622FShH8k9TQaTN5OM9WSRFMUdnXg97+LbetLyGQyOr3uEnXX96C+lsPp6p7b3/XtaVki8X2yYo1ibve/SrQErEwmU9QeX+21VS0LpXeOPmAlrv9GKpWSt9NMGtdE+Qg0QbaAehgMolH1prJaaC5ywZ7deEWVoZYoP5Wge9iPpZXDNyt1bWG+kFz0PGjblP2s+shMySZvp5nURcudbhzwYT3G1Lh0GlBhNHlUGss61v1zXNx2nbpqD6AJzWeX2G5FRHJBKVpoXeC6vFQjMTjkyGQyOrf5KvUwGER9LYYVe+vCr3Hoz5MKH3hxRV1UKKK+FsNo2eANKtsoElo2i6R+twKpp9FgGlptAiVGKhd0wDAMLei1nFz0PEptYVpZfhpBFxYIyZnHp4N/nFDqera3Y0TyWPGh1SdSD4NBKoUo5ucW0JiG08nVZEixPyhSiVSRKj2vx18ltmciwzB0cfsN6mk0mFxNh9CNAz7f5a3oz0Tc20RF9ulfg9aXaKmEw4tP/eOWLKaobxy/m1z0POjVvdcqtc9Kzaau2gNo54yDrNqFPHtLfS2GkXv50RT1WrkwyMyUbHKzHUmj6k/9rpLffgpBl8lktMpri3wDCiWFdueMg+Si58Fq8WOuy1LqbTaUXj8OU2mcRVmoqi6ifkzRYtPOGQdLLPNTKpHS5ol7FNEWpRXLzvF1pBIpHVlymrpqD6BxTWZSTkbJbdB9ZOlp1v7rz5GWkEEj6kymHgaD6M0T1f6H5vdcRkOrTWDdLup1LLmXH02jG0xTekJSNOm7tu8u6/5KCmUF/duUglMDRITtUw/g5oF7GLygP1r0cFKqXUxoPOwcbaCjp6PU9ZnJWfC7GQjX8V1Rt3VNlcb64noAqjepgqZdildYP/zlexxbdhbOQ9pjzOqhJVL+MyslG3O6LsGFrdfBn9YLy6/Nh429ldr74fg6q1YBPj6f/u7BQ00k6PTH4guzERMSj1nOi5GbkVci/Q+a1w/VnRxxfPk55GUJVLZjVd4Ca3wWwbKCBRb0XI6YkDjWNuq1qYXE9ykIehDCqp1DXXt4LfVAVHAsAu4EK9WmmUtjGJkZIvRpOOtxfmt+WEE/sPBvnN98Df2n9MCwRQOUanNq7SX4Xg1A0y6NlO7H5/hjMAzBeUgHlcaZn5OPkKdv4cSiz88hFoqxathmWNiaYfwGr2LZ+i/ePAmHt9MshD6LwKyDEzF2zdBvVv5VnXxOGH185L//nmnWDHB3/2fsPj7yx82aAc1dGmPR+VmIC0vAzE6LkJ2Wo/b+eTweRq/0RHp8BqZ1+B3pCRkq2zK3McWKGwugrauNud3+QmpcOqv23Ub+CvtaFTC/+zIE3n/Dqu2vg9rCvJwpzmy4rNT1GhoaqNWiGkKfR7Dq57tAmWm8ug51uVzOrP+nsqGyt1Hnt1xTxJqyCTf0dppJ45vNVnWodHbjFXLm8VX2Hxaxa5Y8o8/3ekCx7PwX1/bdpa7aA2hotQk/TElRZbl7l8jKSn7+3OPvmaKxLlz4+TH73Qqk7voeNKr+1BLLB/C/E0SuJkNoUOVxlBSVUixb715FkavpEPKqPZnyc9kVsstIyqSRdadQT8PBrN2fhxbJF3qVzdM4+McJ6qzhxnqMJQXKqg9dIpZQX8vhNKfbEqV9yInvk8lFz4Pm91zGSswLBIXkzOPT4cWnVBqr7zV/6qLlTjM6/alSzHoRhflC6mXsScs9N6ps40u8D4ymbjoDaKbzoh+6JvmX+Jowfs8sXCj/T1248PPP+90OUlQXLa7g/hcR/pHkajKEZnT6s9iL48+v+pMzj69StFhmSjZ5VvGmUfWnslpDSo1LZxWS+OD0U3Lm8b+b8s7KCvoPdz8deO8N8jIF6Dm2i9I+5B3TD0JTSwNTdoxhtf9j0odt0Oxrlmc9zrd+77HYbS2q1K+EP8/OLNa+k6fXXkKhQIiuXh1VtvFfiEUSrBiyCcYWRph/fAqMzNSzsXBpQ7JkUOFlMHkbwOQsBJM1HkzGQDBpncGkOKFDnSYYN3QvliwBxg09gg71e4HJcAeTPQMk2A4S3gRJ34NI8vXOShEfH2D7dmDhQvn5364jAGjSqT5W3lyIrJQcTG49H+8CotQ+jmqNq2DUSk+8uvsaN/Z/ZhAsaNq1IawrWuLxeV/Wbc1tTDFqhSeiX8fhzpGHSrezqmABAxN9xIUnKnW9qbUJAJTY+kRJ8cMJ+oNTT6FvpIemXZVbYHxx4xWeXHiBwQv4rDdATohIAgDYVS3Hql1SZArm91gOUysT/HVlXrG2/Tq97hIO/nECvwxsg4a/qGdfyCIYhsG2yfsRFRyLabu9YWplolb7JQlJo0EFJ8FkzwKT9isorT0oZxqQvwMQ3QFksQBPB9CuB+j3gc+L6dhxcCAWzLyDHQf7wOdJJ4CnB4h9QYL1oOyJoHQXUEojMOl9QYLNIEmY/Db2G1HkMz95Eli8WH7+2Kf+MfXb1caGR0ugpaOFaR1+x4sbr9Q+nh5jnFG/fW3snHEIGUlf3D74i2hoaKB172bwuxkIYYGIdfv2bq1Qs1lVHPj9b4iF4q83gHw9oFKtCoh/q6SgW8m3pvvRBP2HcrkwDEN8mxG01EP5esmj6k2lYTUmsS4SlJ9bQMNqTKL+1l6sNiKQyWQ0su4U6ms5XKVt7D7m7vFH5Mzj02J3dn5/ZWAYhtaP2SGvwz7r+640RyQfLyN+TbLcDSRL60GypOryI7k5yTLHEyPYT4w4mBjm0ySrlSuJ1q791M2ydi2RoeE/jxlZHjHiQGIKztKKxffo9rlFJEuqIbef0oFuX9xBK5YGESMruSzNz7Fy5f+7hu7elf/+v0hLyKAxjaZTV+0BFPwoVO1jigtPIBc9D1rltaVYdorqpz8+r1qp3YC7weTM49O5zcrXeVkxdBMNrDhGqWszk7PImcenk6svqDQ+dYOy6EMvepOVLdaTEpumchW5lcM2UxdNN9bbagU9CCFnHr/YFQ8FOfnkbjeKJraYUyKZoCfXXCRnHp/2zDnyXScMMSI/kuUsJllK+w8iXpNkGZ7ECA4SI3n31bHfvUtkYCAX8aLHVlbyx58TxqLn79zKJib/b7p9YSNZWWTS7dOeJEuqT7KcRcRI2NXqLm0EOfnkZjuSZnddUiL2Vw7fTP2svIpV/kFYIKTOGm50aNFJlW0MrT6RVVXFPXOOUFftAUp93osmZm62I9WS2V1clBX0H8rlkhSVCgCwrWKj1PVvHsvjSOu1rcWqn7vHH+HWofvwXOiG+u1qs2rrc/wRdPV10LZvc1bt/s3RJaeRlZKDiQsEqSgAACAASURBVJtHstoJXRmeXfbD7lmH0Y7fEl5/eYDH46nVvjogSQiYzJGgzIFAwUlAuw54JivAs3mCNXsO457vUPC0qirG/l9hiB07ApcvA8uXA7///o8LY9o0YNasz19/8iQwwMMUf6wYgIEjf8OJU6b41XUOoN8DKDgBSu8MJnsKSPK6hN8F1TA0MUC/KT3hdzMQEf6Rarff6Jd6yM3IQ8wb9vHkRejq68KmkhViwxJUtlG7RXWEsQgtNLE0hkwqQ0Fe4Vev1dDQwIIT01CYJ8RfHushk8pUHmdp8kMJejJrQQ+DnqEuqjZ0UL6P6FRs9N6Fum1qYtD8fqzGJ5VI8eD0U7RybQp9I31WbT8mNiwBZzdeRVevjqjZrJrKdj5HVHAMlg3agGpNqmDWgYnfXZw5SePAZE8HZfTB6vUNcc9/A3g2z6Fhvh08g364d98C79//d3z2x3TvDqxbJxdpb29gyRKgcmVg9ep/rvncF8HH1zdsCPB4GuBp14WG6XLwrO/Ax+9PrF7rAMroByZzGEjCLi66NOg1rjMMTPTx98rzarfdoEMdAMArn+K97kYd6+HBqad45aPaF2PNZtWQkZildHy8Qz17AMDJVReUu76uPabsHIvgB6HYN/+4SmMsdZSZxqvrKK7L5fiKc+TM4yu9GcWkVnNZVWEkIlo+ZCP1MvZUKfwr+GGIWjadXTNyG/Uy9iyRLdx+az2P3MuPVtsGweqCYSTECHbL3RpJ9UmWu4bu3Bb8Z/y4MmGIa9cS8XhE3t7ya5yc5E5GV9f/t1fExz73hQuJTEzk/vYxYz5tc+d2vny8KS1JllSbGMGe7851tXfeUbmfWk3bG37MYAfvYocwCnLyaUSdyeRefrRKG2a/fhxGzjw+Pb2kfH2lok2yw1++U7rN+rE7yZnHV0u5a1VBWXS55GfnQ0tbE3qGekpdnx6fqfRsHpDPsJ9f9kc7fkvYOijfrojYUPntYw0nR9ZtP+bV3WA4dWkIcxvTYtn5N/ERSQh5+hb9p/RgHfFTkpAsGZTpCcpbBei2Ac/6JjSMp+PXToaKyI6P3SUdO346i/b2lj8GPs0KnTYNGDdOHu7HMIC/P+DqCly6BHTpAnTtCsydK29b1C46Gpg+HWjRAjAzA9q3B/LzgX375G169ZKPgadhgHHTRmH1/ruAbkdQ3kpQtjeIyf5m7+O/8VzIR/UmVbBq2BYkvEtSq+3eE7rh1d3XuHnwnso2DE0MMHXXOGQmZeHMOuWyOD/G2l7+Gc5kEXEzbt0wGFsYYe+8Y0q38fydDx6P9z/2zjouqrSL4787w9AdKoLd3bVrC9g9gArYiu3auurq2rrm2t3d3YodiArYICIl3Tlxz/vHZZBlQe+dGVD39fv5jCPMfWKGueeee55zfg9uHrwneI5FzY9l0JMzYGhqyCvmy7Is4iMTYVnCgnf//ndeIzUxDb90a/T1g/Mh7F0EJHqSnC+aOkQGRyMyOAZ1Wmk3RREAbuy/A4Zh0KZvc633rS6UdR8U1wNQvAFjtgKM+QYw4hI5rxdkuD09gb///md+dpMmwMmT/wzHPHvGPcfHAzVrAqdPAxUrAlevArVrc7F1T0/OkLdvD2zdyo1z/Tpn2C9f5i4CLMu1KVkSOHoU6NgROHwYCAoywKod6/DXtgNA1h1QbE/cuBL4XcgK6OrrYvbRSRCJGMyTrlArRbAgek3ojDqta2D9uB34FBSldj81f62KFr2b4PCyU4iPFJYKaZ7t8CRE8Zc9MDIzgtvM3nh61Q9Pr/nxamNd0hJ1WlfHjYN3vmkaKx9+KIOenpIOQ1N+semk2BQoFUpYleRv0O+f9oauvgT1HWurNb/QdxGwq1RCo7i0rxcXl6zTRrsGnYhwff9t1G1bEzb234d3TmnbQQmDAcYCjNUxMAZd/3Wxzq+wxtMT2L8fIPq8iNm1K+eBP3wIODtzRt3JifsZAEqUAPz9gYYNgcBAQCQCfHyAChWAnTu5vuVygGGA1FQgM/PzHC5f5gy6SAQEBHDHKhRAtWqAry8wZQoDiWFDePmdRjf3hejWsyQa1rpehJ9kwdiWK47p+8bjg38I1o7ZprV+xWIxpu4aDZFYhCUef4NlWbX7yio3HJEZlbFnzpGc3/HR2tHVk8DY3AgJUcLuirqOdEKx0tbYNmM/bwPdpk9zhL37VChFW9rkhzLomamZMDDmF25Jjk0GAJjb8C+WefXgHWr8WhUGPEM6eYkOiVUrVJObwGcfYGCsjzLV7TXqJy8R7yMR8T4KLXo31Wq/6kKZ10ApSwE9R86Y6/x78begwprwcEAsBubM4Qz54sVcWKR9e2DFCs7gJiVxHjUAdOkC9OzJGWsfH6B+fe53APDoEWfIVVStCuzdy/3fzo57LSuLM+a5z32G4S4Wjx5xYZ1584BO3SriwrVm+HPGObSuNxKUfryQPj1hNO5YD9KJXXBllxeiPsZord9ipW3gubw/Xj14B//br9Xux6GjKV5LpuDwnlgo5IoCF7nzw9TaBEkCi3909XXRZ1oPBPgE4eOrMF5tmnXnJvP8xveZ2aTihzLocpkCEj0Jr2MzUjkXi+8FgIgQHvAJ9pWFl/mrSE1Ig4mVsdrtASAmLA7FSltrPfvk3kmuzFpdCWBtQoowUNJ0QKcmGPMVYET5yw14e3+OmQOfvfGWLYFTpzhDXr48Z7gdHbnfA5zxVRlphgH8/DgjT/TZMz9zBmiQj+Kyfy6F1ehoQCc7Y5RlPxt0kYjz0FX9b93KXVCysgB3dwYTZ/YAdJuDkmeCMq9p+Glph66j2gMAbhy4q9V+W/f5FfqGevA6rH58uU0bYOH0D/DJHIuxwxP/sVbyNQyM9ZGZlvn1A/PQIFvK2u8WPzlei2JmMLcxRchrfheAb8WPZdCzFNDR5ZeTrTLo+jwNekp8KtKS0mFXscTXD/5CH6YWmhn06JBYFCutXf3x+MgE7F9wHI061kO5WqW12rdQiGSgpN8AEBjz1WCYgnXpp07ljHruUvc2bYD374FDh7g4tr8/UKsWcO0aZ1gnTeKMr62tajwgJIT7v1jMvabi6dOC51msGHdR0NEBLPJE7XL3QcQZd4UCaNECuHgR8PLSBWO+FpDUAiX+BpIJ1yzRNrbliqPGr1Vwff9trcaBDYz00bRrA9w98UijXO2Bo+1hjyvYtMv6H2slXx3fWB9JMcmCx7MtXxw29lbwu80/9bJUNTuN8uaLgh/KoCtkCkiEGnSe4ZPwwEgAQEk1DbpCrkBGaiaMNTToMSGxWo9x75lzBLJMGUatGvjNi4goZTEg9wNjtgiMzpcvLsuWcQbVxYWLm9+8yeWV79nDPfbu5RY4P37kjg8M5J5FIi7k8q+x6d8/i0RA5cr/PjY2W647MxNI+MJanerjVHn+TZty8/W6ZQTGYgsgLgVK8AQp+WmIFCbt+rXAx1dhCH4RotV+W7n8gsSYZPjy9Hbz46m/KT6JO6BZudsFipDlR0Onunj9MABBfh8FjccwDGq3qi4oVFS6qj1Cfxp07ZGWnA5dfX4hF3kWd0/M9/jEaM4CWNryX0TNTdi7Txq1B7iwT3J8as7qvTZQyBW4dfQB2vRrrlE4SRuQIhBIPwgYuoPRb/+v11Wpg6rnRo242HTTptwiqKMjMHkyMGgQoMx2BoOCuEXM3MZaLAbS0/89fkHrdu/e/fPnvJ78l2AYQF8fsLfnxrxxg0uF9PYGGJEFGIvNAGWA0vfz67AQqefALfa/89Fu9WjdNjUBAIFqVqWqYuYe7a6gHHvwiyJkeek60gkiEYM7xx8KHrdcrTKIj0zkVTkKcGmSKQlpkGV9X4qcuflhDHrcpwR88AtBjV/4lfEr5ZxB15Hwk61NTUgDAJhYqCcfe+fYQzAMgyad66vVHuDUHVklq9FFIS+qVMxfu2smRaANKGUFwBiAMR6T7+uqHXpUXvmzZ5yhvnmTi08rlYBE8nmx09GRM7x5ja9cwPmWn+FWCogcsCxQowYX1qlWDXB358IvKlkBRqc0oNcOSD8KIu2lDaqDbblikOjq5NRLaAtjcyOYFzPjLU2bF9VaSdOGmYgNj0fLlkocOcL9/muYWpmgWrPKeHTeR/C4NvaWAIDY8Hhex5tacQqMKfHqb8dX2PwwBv3h2ScgIvzSg1+OuFyWbdB5hmhSEzmDrq4e+O3jD1CzeVVYaWCMvQ7fB8Mw+JXne+TDgzNPNErF1BYk8wGyroMxGg5GZJnvMapFz8WLufj45MlA9+7/jFHr6HChFYWCM+z163PhjqLEOs8Sh48Pd6FZvx7YvPnfGjGMoRtAiUDmhaKbZD6IdcSwq2SLkDfaX9izr2zLW5o2L1Oncn97m1LWYJUsEiIT0aZN/lo7+dGkUwMEPP0gWNLXOju0GRvGTzrA1JILp/406FrA56ovSpS1QdkapXgdr1RwrhffjSXSkrh7dL557rmJCYtD8ItQNO/ZRHDb3Dw89wTVf6ms1SrOp9f8UKdNTbVTMTVFFT6htF2AyAowHPDFHGNvb86Y793LVWru3ct55/Xqca/lTSF8+pR/eERbNG3KhVlyI5EA06cXsHfp6maAuBwo40zRTbIA7KuURHhApNb7tatoi4hAzfpVrR3x9ZhVNOrA7dfrK1ATRlWjwnc8k2yDnqrBhtmFzVcNOsMwOxiGiWYY5kWu381lGCacYZjn2Y9OhTtNLvvDvkpJ3ot6lH2Wi0T8jlfIFGAYRi1lw+gQbgWtVFXNYtRRwTEoW0O7WSgxYXGwq6B+5o6m5Gx07GUASBrC65bhF3OMdXSAffu4cEruxUg9PS6UolRy+eFVhQloapXLl/8dlpHLgRcvuHz3vKJhjRszgKQGoBS2cFcYmFgY5zgv2sTYwgjpyfxi0QWhSjHOSue3aYUK1QY0cRHCPPTP4/ELhalSpmXZ63PfI3w89F0AOuTz+1VEVDf7Uej3kvGRibAoYc77eJUHx/C8H1fIFbzj7XlRaUloEvuWZcqQGJOs1QwXWaYM6ckZMC+uXU0YIbRpAxw+LEefodMxZ4nbF3OMb97kwi0jRnBpiJUqfX7t0SPOiJqbAxERQMo32EhG9VVSKD7H6Vu04J7lcmDAAMDVNX/tGYhLAspIEH1bGVYDY31kpgrP2/4a+kZ6yEzP0qhiVJKdwMB3FyIVhiYGkOhJkCgwfVFXXzd7PH6LLuJs+6Ban/se+aq1I6LbAITdA2kZIkJCZCIsiwsw6NlfLL5ZekoFm/MHE0qcFgy6yruwts8/vqwOqswdCwGfW2HQpuVHjBhwAAuWNf1ijvFff3HhDKWSW1wMCPhc/EME6Opy6YhKJVctWlgZmIZ5dgxUjaOrCxgZAaam3P8dHYE7dwAPD+73Pj5cDD0/7RlGbAdAAbDaq9RUB1UhjrY1SVRy0VkZwoxxblQZaUL7YBgG5jamSIzhr+mSezy+Bl3l8KnW575HNImhj2EYxi87JFOgJWMYZjjDME8YhnkSE6Pel1mpUEIhV0LPUE/tyX4NYlm1c7Qz07hbNn3DgotkvobQvHk+qE4MPQP156UNbt4gbNrdD7NmBP8jxzi3MiIATJnC/bxtG3DiBGcofXIlL8hk/0xPLCydpLwpj0ScQJeqAtXWFihenLuL8PDgionmzQPq1uXy5fPd1JnJXmynbxt/FUvEYFnSyJPOD50c71X9OxDVepdq/UsIuga6vEMn/x6P35xFYs5cssoiXrQRgLoGfSOACgDqAvgEYEVBBxLRFiJqSEQNbWxs1BpMR6IDEwujHI+TF9nGme9JL9YRq13pZlFcuOpbXlQLNEKkQL+GaudydSrp1CGvgQa4QqCuPSvg0JbxmDfTKyfH2NPzc3pibmVEuZxb5ExL43LPAW7BUcKvnKDQiIri5qAS6AoNBQwMuJx4ldbMvn2cAmO+mzorsxcMRd9uPQPgnA9dfQnEYvXuRr/UL8CFXtRF5Smr44AkxyYL3uRcFdrhO57qYsW3uPFboJZBJ6IoIlISEQtgK4BCT3K2KGEuSFWNyTHo/Cy6WCJWyzMAPodaNDHGplYmkOhJeKdQ8cHY3AhiHTEShFwINSBnATTXouAffwDz5jFo0/wNSBGUk5oIcPHyGTO4Ng0acGmKTk6c1wtwht3YmAtvFHUmiwqRiHs8esR56QzDhXw8PLit7VTvl4iT5z158t/aM97eALERAGMGRqRZJbGmZKRmavUuUEVmWiZ0JGKNtkuUZxtYvsWAKhRyBVIS0mBuI2ytSHUBkfAtVswOtYi1vCWkNlHLoDMMY5vrx54ACl2CzLKEuaBVbFV2C7E8DXq2h65ObNEye7FW6Cp7bhiGgVVJC0SHxqrdR15EIhHMi5kiIbJoNl1QGbDci4JnzwKTJjGATjlA8S7nuM2bP+ecV6vGpR9KJNxrR49+9shTUzlvnWE4hUQtO5ZfRSL5LJ27dy+3IDp7NhdmAT7Hy8eP54x+3vWBnHxqRRi3MPqNyUzL1MiLLrjfLI0vFKoQIV8BPhWqxVAzAcqqwGeDrstzPJWHrm7yRFHAJ23xIIAHAKowDBPGMMwQAMsYhvFnGMYPQBsAEwp5nqhQpywCfIJ4l+kKjXepvozqbAJgX9kW+kZ6eKahtGaVRhXw/MYLrW5IW752GfjffV1kwvwFbUjB6LUG5E9BMt9/HNuxI7ew2KIFZzwnTeI8YLn8n7neCgW3SYWQKk5toMpmUd0hqC46R45wKYpr1uQTL88DsfGA7AGgq34VsbaIDokVtEcAX2LCYmFpq9niuyo0aCpQsfTVfW4zeKHCc0nZEtsm2RWgX0Nle/gquH4L+GS59CUiWyKSEJE9EW0nIg8iqkVEtYmoGxFpd3+rfPilR2PIZQo8ufyc1/GqjBUFzxQjY3MutSEtu2JUCHoGemjSuT7unXwEpQYWp7Xrr0iMSdb4wpCbZl0bIiIwUu2ybKHktyEFAMCwPyCyBKWuyLm4rFzJxZ09PIDXrzlDqaPDGVE9Pc4r1sl1d3v/fpG8BQDcnYBI9Nk7Zxguk2X+/H/KEvTpk0+8PC/pxwDIwRj0K7o3UAChb8JRuqp2tfYBTsuoVBXN7kBiwrhkOptSwtRGH194BmNzI1Rvlo/K2heIVY3HM7NMVSGqKjD6HvlhKkVr/FIFplYmeHD2Ca/jVbE8Bc9Vd1XJf2qiekUXLXo3Q2JMskZC/6qKtzePAtTuIy9NuzYEwEkAFDYFbUhx8ybAiIzBGI0CZA8B2V3cvMkZ/eXLOeXEI0c4T11Xl1NQ1NHhvHGFgjPudnafxykKwUilkjPmJUpwz+7uXPhIoeDmeu0ap8m+eTN3fO54eW6IlKCMQ4BuEzCSSv8eqAhJTUxDfGQiSlez+/rBAlAqlYgIjIRdJQ0NemgsjMwMYWjCv1qbZVk8vvgUDdvX4V0VnjNe9nqVtZ0wg27K06P/FvwwBl2sI4Z9lZK849QqDRcFz5xR42xRrmSBu5+oaJCtlfLW+71a7QHO09c31MvRldEGNvZWqFS/HK7tu6XR3QMfCtqQIsfIGfYBxPag5Hl4/DgD585xGzmrIPqcf966NVfm7+jIPYeHfy7sKczoUYlcSSgGBkBkJDcHVcxcpTty4cIX4uW5Sd8JKMPAGH577/z982AAQOlq2vXQw95GQC5ToFRVzS4Unz5ECd4LwP/OayREJaFxJ+HhrMgP0RDriHnXaSTGJEMkFqklD1JU/DAGHeDShfiGUFQ54XxzU4tnbx0XFaxerryRmSFEYpHGxtjKzhJxEdqt43Kd1hPBL0JxfnPh7p6jMna5yW3kGEYXjNlfgDICU4ZPROvWny2zt/dnj/fmTW6BccUKoFy5z7F0VfhDRd4CIG0QGcnFyRkGyMjgjPmzZ5+zcfjqdAMAZZwApSwD9DsCev+WCy5qbh25Dz0DXdRuVV2r/d49wW3g0dBJfQE4pVKJV/ffoWpjYXcxp9ZehHkxM7W2Vnx5/w0qNSjP27MPD4iAbfniWt9NTJt8vzPLBx1dnRyd86+hWrjI4FnmXLyMNUQiBuGB6i0HMAwDU0tjjYV7bEpZ5WjDaIuW0qao26YGds0+iLQk7Xn/eckvDz2vEBej2wCMyRQg6zqQvjunXaNGny8G3t6cAVUouE2cHRw+Z70QcfHtqlW5AqCvnVs6+WSY5Q7Z5M1vZxiufx0dTslRZcxVoRY+kq4AQJk3QEkzAd1fwJj9BYb5tqeaShe/WfdGgkIafPA6cg81m1fVSFQuyPcjUhPTUKe1sM3RY8PiULFeWegLLDrMysjC28eBqN2iGu82oW8itB6u0jY/lEGX6OnwDqHkZK2k8RTe0ZWgWBkbRLxXXzHO2MIIKVow6DGh2stFB7iLTb+ZvZGSkIYX995qte/c5JeHnq8Ql+EAQK8dKOUvkOzpv9o1asSlMzZqxD3u3OEMt4cHF0/X1+cMvSqlUFXwkx8KBWegcxtxVchGR4cLsaiMesWKnNevVHIFQz4+n1MrVRccPpKulPUIlDgekFQHY77ui9vsFRU+V3yRHJeCdv1aaLXfj6/DEPwiFK2cf9GoH18vbiu4Oq2F3T1kCNg4PjevHwZAIVfyvltRKpQIexeBUlV+GnStoauvy1vnwciMux8XEgIpW6MU3nq/VzvFz8zGVKNqUQAoWb4EYsPjtRpHB4AqjSpCoquDp1f9tNpvbvLLQ89PiIthGDBmSwBxcVD8ADy+558T0lC1U+36c+gQZ4AXLeLkAAYN4gy0nx9nrBs04LJidHULzlFXbfBcIx/nLzSUaz9yJDBsGODmxhn1Pn3++Z74eOZEBErbBUoYBIhLgrHY+s0LiQAu3W7zlL2wtLVAAw3CInkhImybtg8SPQlaSIWHPFQoFUpc2nEDZWuWEuzlpyWlw0CNO45LO29AV1+CGr/yk+18++Q9FHIlKtQpI3isouSHMuiGJgbI4JmHrlJmjP/Ev6imccd6GqX42VWyRXiAZhmctVpUAxHhxd03GvWTF0MTAzTuVA9eh+8V6uJoQXnoeWFEZmAsjwK69dCw2jIsXpSGDh2UmD+fy01XecUVKnCx9YkTucyZTZs4FcbQUE6V8c0broIzM5PzrPMz6kTcRs8vX3LHDh/O6asrsm/26tUDNmzgvO/Nm7lqz9wGnI9nTmwKKHEsKGURoNcKjNWRAjfyKEqICKuGb0L4uwj8vn88JLra01A4v+UaHp7zwdAlbhpt7HJ5lxc+vgpD/zkugtoRERKjk2AhcMvGIL+PuLH/LnqO68R7Q5ubB+9CoifRaEeyouCHMuhGpga8tZz1DfVgZGYoqBxf0xQ/+0pcFk5Gqvq60NWaVoJET5JzC6pN2rm1RHxkIp5rMc89LwXmoecDI7YCY7ETbZzqYfrYNdi/n0HzX9Owbx/noasMqeqiMHEilwXj4wPUqsVVlJ49+zlsUrIkZ9BVIRSDXI5bQgLnzd+/D1Spwu1FamDAeePv3/9znkJ2ywEAkr8CxfXkdmQymQbGfAMY0beTLM7NqbUX4XX4PgYt6Cs4Pv0lQt+GY9PEXajvWBs9xnZUu5+MtEzsnnMY1X+pgua9hG0Qk5KQCoVcKVhNdMfMAzAyM4TrtB68jlcqlbh99AEad6oHIzP1djQrKn4og25oaoiM1EzeHqalrQViBWSMqFL8bh97oFbYxb4yp4igSRGPrr4uqjerjKfX/LRe3dmkc30YmRni/NbCyXb5Uh56QTCMGLeeTMScZdPQroU37t4zgpuLHxYvZrFy5T8XVG/e5NIHW7QA/P05Tx7gQjGXL3OpjU5On0MxGRmAZbaTrK/PXQh++YWbGxFw/jynx8IwQI8ewjJYAIAoE5S2DRTnAlAWGMt9YIyGqK3aqW1ePXyHzZP3oGnXBnCZ2l2rfW/4bSd09SWYsnO0RlkfhxafRPynBAxf5iH4c1OFNy0E6P0/u+GPR+efwnVaD5hY8AuHPbnsi/jIRLTp01zQ/L4FP5RBNy8mTNWwVJWS+OAfImiMzsMd8e7Je5zZcFnw/Ko24VKuvC/xq2YtiFYuvyDI7yPunXqsUT950dXXRY+xHXHn2EO13t/X+Goe+hfa9R8gxvU7jeHu+hyXrtpD2vkoZs+Wo2EDLkvp5k1Oy8XZmasq9fDgqkx//x3o1Ysb6+ZN4OFDLhTj58cZ7/h4zoPPzAQqV/58QTh1imvTpg0XYunTR0AGC5sASl0HimnNpSXqNQdjfRqMbgMNPj3ts236PpgXM8XUXWO0mmony5TB1+sVHPu3hnVJ9cNKjy48xcHFJ+HYvxVq/FJFcPuQV9zeqCUr8lOwTIhOwhKPtbCrZMv7riIhOgmrhm9CyQrF0bTL9x1uAZC9kFNEjwYNGpAmPLrwlBwYKfnffc3r+MPLTpEDI6X4qETeY7AsS793XkidDPrShxchguf4W4tZNLTWBMHtcqOQK2horQnkXn4UZWVkadTXv/pWKGhW18XkpONCPld9tdq3uty4QWRtTbRiBffs7pZEDKOk5XMXkjKqGSmT19CSRZHUpAlLDMMdR0Q0ciQRQNSlC/fz0qVcX0uXcscYGRF160ZkaEjk6MgdO3Ik97o6sPIQUib9ScpPtUj5qRIp44cTm/VYOx+Clnl5/w05MFI6vvqc1vt+7vWCHBgp3Tut2Xsf1WgaDa4+njLSMtVqv3XaXuqg60pZmTJex5/ZcIkcGCm98Q7kdbxCoaApDn9SJ4O+FPAsSK05agsAT4iHjf2hPPQS5YQV/1TPvuq/fvCO9xgMw2Dy9lEwNDXEYrc1kGXx281ERWvXXxH8IhQfXgi7M8iNWEeMUasHIfJDNI6uOKt2P/n2LRZjxv7xKF3NDvNdVqq9U7s2UXn2EydyC6n79pvC3V0EhWQAoFMZSFuPKYNaoHblczA0kGHePAVmz2Zx4ACnr1Iyu+JcFW+fOpULu8ybx8XMz50DrlzhCpV27y54P9O8EBFI/g6UtgdswghQrCOQ52NiZAAAIABJREFUfhgw6AzG+gJEFpvB6PLsrIg5vOw0TCyN0XFoO6337XfrFRiGQS0BOdx5ISKEvglHfYfagnPIVbz1DkSFumV5qyUmxXJV4OVr8xPx2vvnUTy77o+x64aiYt1yas2xqPmxDHpZGzAMg9C34byOr9ygPCR6Ejw85/P1g3NhUdwck3eMQpDfR6wdvU1Q25bSphCJRTiw8LhGMfB6bWuhea8mOLjoBF7cVV8fJj8MTQww7/Q0iHVEmNFhAcI0zMzRFJUhzr2gevEi0LiZHUSWu8DY3AdjugCb1pzF6T2ekGXJsWCBCDKZDGeOXsemdQFYupT9Rwx86lTg7dvP4RiAu2CcO/fl0ApRFijrIdjkBaCYNqC4LqCUBYD8LWA0GIzNdYjMFoPRqVi4H4oGXNnthfunvdF9dAcYaFn7XKlU4u7JR6hQtyzvGHR+RIfEIiM1E/aV1dN/SUtKw5vHgajSiP/fISk2mdt/lEemT0ZaJg4uPolWLs3QYXBbteb4TeDjxmvroWnIhYhofPOZ5FlvMu/j147ZRk5iZ3rvGyx4rE2TdpMDI6XI4GhB7fYtOEYOjJR2zDwgeMzcxH2Kp4FVxlJXE3d6ef+NRn3lx5vHAdTbZhD1Le1JqYmpWu9fCKqwy40b+f+s4vq1dDI0kBNAZGiQQdeOuZPyUyW6dmwEWVsl0/XzJ4hNO0jXLz0ma2sZXb8aQawykVhlCrHKOGIVEcTKPxAre0Nslg+xacdJmbyUlPHDSRndjpSfqnDhlE81SRk/gti0I8TKQ4v+A1EDlmVp33zuuzfV8U9KT0nX+hjHV58jB0ZK1w/c0aif0+u58EfwK/U+2+2/7ycHRkoBT/mHQn7vvJCG153E69iIoEhyYKR0cceNrx9cBIBnyOWHM+jHV3FfqLCACF7HJ8UlUy/rQTSh1WxiWVbQWM9vcrFCobFmlmVp5bCN5MBI6eymK4La5iUmLJb6VxpD3cw8KD4yQaO+8uP1o3fkpONCSweu1XrfQlDFv3Ojiofn/tnMjMjUlGj2bCJTU5bMzJR0/cItUiZOp2snJpG1ZRzNmrCWrC3jcoz91x/VSRnTmZQJ40iZvJrYjCvEKtOK9gPQEIVcQauGbyIHRkpL+v9Nsix+cWUhRAZHUxdjN/q980LB51Jepjr+SYOqjlOrbUx4HHU27EeL3FYLate/4mia77qC17FvvAO1sk6gLf6zBj3qYzQ5MFI6uPgE7zbnNl8hB0ZKNw7eFTZWSIzaRlkhV9DvnReSk9iZ7p/xFtw+N0F+weTASOnk3xc06qcgds4+SA6MlG4fe1Ao/WuL4cM5Y57bizc15X6vYtYsBQFEs36PJjbzDrHpp4hN3Z792Mt53Omnic24RGymF+ets/Jv84a0RFamjGZ1W0wOjJS2zdivsbHND5ZlaUanhdTF2I2iPgq7Y81LcnwKtZe40tZpe9Vqv2r4Juqg60oR7yN5t8nKlJGT2Jl2zj7I6/jHF7kEjBf3tH9nrA7/WYNORDSh5WzqZubB+3ZLoVDQyIZTqauJu6A/kFKppG5mHvTXoPVqzTM9JZ1GNZpGHfX7UmxEvFp9qBjZYAoXGknSvucoy5LRyIZTqb3ElU7+faFQDII2+JoXrwrTzJ6df7jmv0hWpoxmdllEDoyUTq27WChjyGVyWjpgrVacCqVSSfNcVpADI6W3T/hlm+Tm5NoL5MBIaf34HYLaeV9+Tg6MlG4dvc/r+PNbrpIDIxV00ShM/tMGPepjNPUt7Um9bQbRx9dhvNrEhMfRgMpjqZupB716+I73WEsHrqVuZh5qpw8GPA3SSizu5YO35CR2phVDN2rUT0GkJKTmeHkL+62i9NSMQhmnsOAbg/8vkduYn9l4uVDGSE/NoN87LyQHRkp75x3V6GLPsiytG7udHBgpHfnrtOD2J9acJwdGSn/0WCo4pDSj00JyLjGEd4rjiqEbqafVwO/GuflPG3QiotC34SQtPoT6lvLkvWgZExZLfUt70oRWs3mP43PVV9CVPS8sy5JLyWG0oM9KtdrnZuu0veTASOnxxaca95UfSqWS9i04Ro4iZxpacwLvdYrvAT4x+P8SRWHMiYg2TtxFjiJnOrdZs7UgIqKDi0+QAyOljRN2CjaUD8/7kAMjpTm9lgk25h9fh5EDI6U9fx7h3WZorQk0o+MCQeMUJv95g05E9N43mHpYDKD+lcbwLh5aPng9udgO5T2GQqEgl5LDaHK7uaSQK9Sa59KBa6mn1UC1CyhUZGVk0ZAav1Ef++GCM2+E8OTKc+plPYicSwwh31svC22cn6hHYkwSTe8wv9CNeWRwNHUxcqOlAzRfMD+76UrO3Z9SqRTcft3Y7dTF2E2wMWdZlha7r6GO+n1524ikuGRyFDnTnrn8LwCFDV+D/kPloeelfO0ymHtyCiICI+F16B6vNuVql0F8ZCIig6N5HS8Wi+E6pTue33iB+S4rIMvkJ9+bm/YD2yAtMQ1L+68Fq9o+Xg109XUxbc9YZKRmYkzj6VrPT1fRwLEOVt2ZDwNjfUxuMxebJu5CVgY/XfmfFC7el59jeJ3JeH7jBSZsGYGuI5wKZZzokBhMbjsXYokY/Wb21qivW0fuY83ILWjcqZ5a2i8sy+LhuSeo2byqILVIpVKJNSO24Pr+O+j9W2feqowbJ+wCI2LQrHtDQfP8LuBj9bX10LaHTsRdgbsYu9GG33byOj7kDXf7dWbDJUHjqOJ3E1v/oVbOtip/d8uUPYLb5iXkTRgNrDKWOui60pXdXhr3VxDpqRn09+it5MBIaVDVcfT6Ef+1h59ol/SUdFo9YjM5MFIaUuO3Qi1Fj/oYTe7lR1F38/5a+ZuPbz6TBlUdR3KZetlEfrdfkQMjpat7b/FuI8uS5Sy+bv+df+bPzUN3yYGR0u45h9Waa2GB/4eQi4qhNSfQHz34BUtZliX38qNoVrfFgse5fuAOddB1peF1JwnOWmFZltaM4ozj+S1XBY+dl+T4FJrcdg510HVVS3NGCD5XfalvaU9yEjvT9t/3a11f5idfxu/2K/KoMJocRc60adLuQv38oz5Gk0eF0Voz5mEBEYLTjPOycthG6mLsxnuhXqlU5izkHll+hvc4USEx1MNiAI1pOkPt8Gph8X9l0Gd1XUwDKo/lfRVeM2ordTbsp1balPfl59TZsB9NbjtHcFuFXEEzOi4gJx0XOr/1muD2eUmITqTeNoNoQOWxhW7UUxNT6a9B68mBkVL/iqPp4bknhTreT7jP/O/RW8lR5EweFUaT3+1XhTre60fvqF+ZEVoz5hlpmTS7+xJyFDlTdGisWn3433lFXU3caUn/v3m3CX4ZQg6MlHb9cYh3m/ioRBrZcCp1MXb7LpMB/q8Muipn9NkNf17HRwZHk1vZkdTNzIP87wg/Sfb8eYQcGKlaX9LUpDSa1p5b0OJb5PAl/G6/ImnxIdTZsB9d2ln4OXo+V31pULXx5MBIaVbXxRQe+KnQx/x/IyMtk85svEwutkPJSexM68ZuL5Qy/tw8ve5HHfX6kFvZkfTO573G/cWEx9GoRtPIUeRMx1epp/h4de8t6qjXhwZUHkufPkTxbnds5VlyYKS824S+iyCPCqOps2E/enD2+3RU/q8MemZ6JkmLDaZZXfmHUaJCYmhglbHUxchNcGl/6NtwcmCkdGzlWaFTJSLOU1/svoacdFy04g3ERsTTpDZzyIGR0rJB6zTOpvkasiwZHfnrNHU1caeO+n1p5+yDhT7m/wNxn+Jp56yD1Mt6EDkwUhrbbAZvqde8CEnjDPL/SN3N+9PQmhMoKTZZrfFy887nPfWxH05djN3UKp1XKpW0cxZXvTypzRxKihM2pykOf9KQGr/xPn5GxwXU02qgoPqUoub/yqATEe2ec5gcGCnvQiMiovjIBBpeZxJ11OtD904J++J51ptMY5rOEDrNHGIj4qmTQV+tpIQRcemVu/44lJNDHvo2XCv9fomY8Dha7L6GHBgpOZcYQlun7aWokJhCH/e/xsfXYfTXoPXUUa8POYqc6Y8eS8nv9iuNilr4FlqpajNcSg7TuKSfiOj2sQfU2bAf9S3tSYHPPwhur1QqaWG/VeTASGn54PWC0xTTktOpg64rbZ68m3cb5xJD1K4GLyq0ZtAB7AAQDeBFrt9ZArgKICD72YLPYIVp0OOjEqmLsRv1rzhakIJbUlwyjWkynZzEzuR9+TnvdkdXnCEHRkqrR2xWWwhp82ROzXHtmG28K9i+xpMrz6m3zSDqbt5fYw0ZvvjdfkWzuy8hJx0X6qjXh9aN214oQmL/NQKeBtGCPivJSexMXYzc6O/RWyn0nfbit1+TQrh/xpukxQZTVxN3QaqFBfHc6wU5ipxpbLMZFPdJPamLB2ef5CiVCr2gJcUm0+R2cwVpsAT5fyy0jUC0iTYNeksA9fMY9GUApmf/fzqApXwGK0yDTsTt0iItPoS6mXkIqqZMT0mnnlYDBam3KRSKnMrNcb/OVEurRS6T08aJu8iBkdLoxtO0ViwUERRJIxtMyRFrKqoV+8jgaFo+ZAM56bhQFyM32jZ9n1a8vv8SLMvSc68XNKPjAnJgpNTN1IO2TN1LCdH8d9USwuzZ3Fk+O1dxdHpqBq3y5FIgPetN1sqCekZaJvWvOJr6VxyttmwEy7I0ttkMci83UnCK44cXIeRRYTR11OsjaC1p6YC11MXITSuhpsJEqyEXAGXzGPS3AGyz/28L4C2ffgrboBNxaVfD604iJ7GzICGhpQO4ak6FQpjx8zp8j7oYuZFLyWFqK7PdPv6Qupl5UE/LAfTwvI9afeQlKyMrR8J3cru5grbh05TQdxG0sN8qchQ55+Swrx2zje6f8aa05MJd3PteiQ6NpWv7btO4X34nB0ZK0uJD6MCiE5SSUHg69Pl56MGvQmlQtfHkKHKmLVP3au3OcOOEneTASOn5zRdq96GSqxZaI3Lv9GPqauJOLrZDBe0bEPUxmtpLXGnduO1Cp1rkFLZBT8zzegKfforCoBNxHreqNJpvTNfr8D1yYKRqGdQgv2DyqDCaOui60uNLzwS3J+LydT3rTSYHRkqn1wv7Qn+JiztuUCeDvtTHfjg9ve6ntX75EPougo6tPEszOi2kzob9yIGRUnuJK41vPpMOLjmp9m35jwDLsvTshj8tdl9DfUt7kgMjJQdGSu7lR9GZDZcoM71wF5HzxsyvX2fJzERGzQwWkrTYYK1+Fx6ee0KOImdaM2qr2n1kpmfShJazOQEtAXn2ZzZcIkeRM41qNI1iwvhnnbEsS8sHrycnHZdCldHQFt+NQQcwHMATAE9Kly5dJG+eiPNEHBgpHV52itfxqUlp5F5uJHXU60Pnt1wVHr+LS6ZBVceRW9mRat9yZqZn5gguaTOmF/AsiAZUHksOjJQWe6zRWMpXHbIyZfTshj9tm76PRjWalmPc5/RaRg/P+wi+M/oeYVmWAp9/oIOLT9DQmhPIgZFST6uBtKDPSjqx5jy98Q4ssvBX7iyXqJAYmtllEdXHHPq1zEW1c8LzIsuS0ZapXNhxaK0Jat99hb6LoOF1JnGqpNuv826XlZFFPS0H0KQ2cwRdINOS02lOr2XkwEh5V5h/a/5vQy65mdBqNrmXH8VbDCgxJiknR3z54PWCvSjfWy+58v6p6gn3E3GGb27vv8iBkdK++ce0Jt+ZkZZJ23/fTx31+lBXE3c68tfpQtnVhi8hb8Joy5Q9JC02mBwYKfUt7UmbJu2m6/tv04cXId9dpV5BpCam0u1jD2j5kA3kajcsxxMf3XgaXdp5o9A98S+hVCrp7KYr1M3Ug7oYudHxVee0duEMD/xEoxtzF+ZVnpvVTlv1OnKfupl6UC/rQfTogjAVUVWZvpC045A3YTS4+nhy0nGhoyvOfDfyuF+Dr0FnuGO/DMMwZQGcI6Ka2T//BSCOiJYwDDMdgCURTf1aPw0bNqQnT558dTxt4XX4Hhb2XY2F539H4471eLVRKpXYO/co9i88jor1yuGPY5NgW6447zFXDN2IK7u9sNFnGcrXLqPWvJUKJZYP2YBre2/DZXI3DF3qDoZh1OorL+GBn7Bxwi48Ov8UparaYfSaQWjgWEcrfauDXCbHw7M+uLDtGp7feAGFXAkAkOhJULZmKVSoXQbFyxaDRXEzmBczw4mr5dCkmQidu+rDwMQAIpEIN29yGz9P/eo3kD8syyI9OQOpiWlITUhDSkIqYsPiEfkhGp+CoxAZFI3ID9GIDY8HEcHIzBD1HWujccf6aNShLqxsLbQ3GTXwvfUS26btw5vHgajXrhYmbPaEbXn+3+MvEfYuAhNazIZCrsTEbSPRolcTtfrZ++dR7PnzCKo1rYRZhyeiWClrQe1ndFyAkNfh2Bu0npfgV+DzD5jUeg4kujqYdXgi6rapqda8vwUMw/gQ0VfVwr5q0BmGOQigNQBrAFEA5gA4BeAIgNIAQgA4E1H81wYraoMul8nhVmYkLEqYY8HZGbCxt+Ld9uE5HyztvxYisQjbXq7irdSWHJ+CIdV+g4mVCeYcn4wy1ezVmjvLslg3ZjvObrqCVi7NMG7DMJhamqjVV348POeDjRN2IuJ9FJr3aoJhS91RskIJrfWvDnKZHKFvIvDeNxhBvh8R5BeMIL8QJEYn5RwTTzXgj4mohZWwZF5CZtYI3mmjMaSTFxwcxShexgbmxUxhbG4EYwsjGJsbQUeik9OeiKBUKCGXKZCVnoXYsHhEfYxB1McYRH+MQeTHGIS8Dkf4uwiw7L/PDYZhYG1niRLliqFEuWKwLV8cddvURLWmlf4xzrci6mMMNk7chXsnH8PG3goD5/eBY/9WWnMIfK76YtnA9WAVSqy8PQ+lqtip1c+1fbexbMA6tO3XHJO2jxSkoghwztqifmvQb2YvDJzXh1eb5YM3wOvwPex4vRrFStuoM+1vhtYMujYpaoMOAA/OPsFitzXQ1Zdg+r7xaOjE3xt97xuMUQ2mQjqpG4Ytdefd7vnNF1jYZxUy07Iwas0gdBjcVq0TiohwcPFJ7Jl7BBbFzfDHscmo1qSS4H4KQpYpw9HlZ3FoyUkoFUr0GNsR/Wb2hrG5kdbG0AayLDmSY5OREJWExOgkeN0SYf7aqmjb4D2uPS4HpwoHwIbfRlpSer7t9Q31IBKLIM+SQy5TFDiOvqEeipWxRsmKJVCuZmmYWpnkXBhMLIxhVdICxcrYQFdPmPEpCmRZchxdfgYHF50AwzDo+3sv9J7QGXoGelrpPyMtE9um7cOZDZdRqqodZh+egHK1hN+BKhVKbJ22D8dXnUPtVtUx7/Q0GJka8m6flZGFjRN24/yWq6jerDLmn5kOU6uvOzoBT4MwpvF0dBvVAaP/Hix43t+anwY9F6FvwzHPeQU+vgyD26zecP9DCrFYzKvtYvc1uH/aG/s+bICZtSnvMeM+JWBp/7V4dt0frV1/wdTdYwR7ISre+bzHfJeViItIwITNnnDs30qtfgoiNiIeu2YdwpXdXjCxNIbHHGd08XT8LjzOgvjjD2D+fGD2bGDePO7iFxcRj+jQOKTEpSA1MR0pCalIy34GAB2JGDq6OpDoSqCjqwNdfQms7a1QvIw1ipexgamVidY82aIiIToJ1/fdxtmNlxHxPgotpE0xYnl/rXqgrx68xdIB6xARGIle4ztj8KK+al0okuNTsLDvajy96ofuoztgxMoBgr5jYe8iMN91JYJ8P8JlSncMWtCHV3uWZTH+11mICo7GjtdrvjuHhQ98DTqvRVFtPYp6UTQ3GWmZtGzQOm7Bc8gG3u2CX4aQo8iZts3YL3hMpVJJ+xceJwdGSuvGbtdoASYpNpkmt+X0WjZO3FUoi4YBT4NyxhhUdRyd33qt0EWh1OH/cTPo3CiVSrp/xpv+6LGU2ktcyYGR0pimM9ROmS0IhUJBe+YeISexM7mVHalRjrkqtbejXh9BmSwq/O++pq4m7tTLepDg1OLzW6+RAyOlK3u8BI/7vYD/Ny0XvqwavomcdFzI/+5r3m1U5dl75h5Ry5CuH7+DHBgpzXddIVhoKDdymZzWjtlGDoyURjacSu99g9XuqyBYlqV7px/TkBq/5Wi0nNlwSe3NCbTN/+Nm0CpYliWfa3452SUutkNpy5Q9FPxS+9LJQX7BOeMs9lhDqUlpavfldeQ+dTLoSy4lhwkq/FERHviJ+tgPp76lPQWlXLIsS8dXnaMOuq40oeXsHyajJT9+GvQCSElIpf4VR5Or3TDe1ZNpyem02IMTofqtxSzBhQgKhYIOLDpB7SWu5Go3TJBmTH7cOnqfpMWHUHuJK+2YeUDtvPcvwbIs+d95Rb+1mMVpoFcaQ15H7n/zk+L/bTNoIi418uTfF2hwdU62uI/9cLq862ah3KVlZcpo1x+HqL3ElaTFBtONg3c1+pvfPvaAnHRc6LcWs9QqJIt4H0l9S3tSL+tBghyYpNhkmtV1MTkwUprdfcl3X9r/NX4a9C8Q+PwDdTLoS5PbzhF0Ulzde4u6mXqoLXz1zud9zkm5dsw2jSRnk2KTaUn/v7kc7lKeGp94BcGyLD04+ySnUGZE/Sm0e85h8rnq+12GY/5LBDwN4nbrMXLjwipNphdqbvvLB29z7swWe6yhxJgkjfq7d+oxtZe40rhfZ6pVdPTpQxT1KzOCeloNFLTlXmpSGrmV5YoET6w5/82dEG3w06B/hUs7b3Cx7XHbBRVbhAd+opENplAXIze1djzKTM/MCcEMrzOJIt5HCu4jN/53XtGI+pwQ14SWsynIT/thGCLuLuPSzhvkWW9yjkaLk44LjWw4lbZO2yuo7Pon+aNUKunuyUf0p/Ny6ldmBDkwUups2I+WD9mg1neNL7llkPuW9hRc4JMfXofvUQddVxrTZLpae/B+fB1G7uVGUg+LAYI23GBZlnbMPKCxrsz3xk+DzgNVPHpi6z8E6XjHhMWSq90w6qDrSgeXnFSr+u7RhafUzYyr4Du59gLvatb8UCgUdH7LVeptM4jaS1xpy9S9hSqClZqYSo8vPaOdsw7SpDZzqL3EldpLXOlP6V/kc9VXo/fy/4hcJqcre7xyvGNXu2G0oM9KOrXuIiXHpxTauAq5go6vPkfdTD2oo35f2jZ9n8bfm6S4ZFrktjpnoVad+Z/ZcIk6G/ajXtaDBG3wkRyfQgv6rCQHRkrzXFYIHvd75qdB5wHLsnRxxw3qYuxGPS0HCNqxJCk2mf6U/pUTV48IEu5pR4XE5MioTmz9h8bbuSXFJtPywdy+n11N3GnNqK0U5P9Roz758OlDFG2Zsidnp50BlcfSkeVnfvi4ZWESH5VIXofv0SrPzTniXUNrTaDr+28XiezBq4fvcsTgZnRcoJWtBH2u+ZFLyWHUXuJKe/48otZC+ok153PmJERzyPfWS+pb2pPaS1zpwKIT/wltoNzwNej/F3noXyMs4BOmOc6DoYkBNj5dxjs3lohwbd9trBu7HcQSRq0ZjPYDWwvKZSYiXN55Exsn7gKrYDFksRu6jW7Pq5S5IN75vMepdRfhdeg+5Fly1GpRDV1HtkfzXo3VzoXngyxThjvHH+Hc5it4cfcNJHoSVGpQHvaVbWFfqSTsKpWAfeWSKFmxBPQNtVPw8r0jy5IjLjweMWFxiA6JxZtHAfD1eongl6EAAEMTA9RqWQ2dhzuiSef6Gv3dvwYR4eW9Nzi35Spu7L8LS1tzjFo9CC16N9Uo/16pUGLP3CM4uPgkSlUtiRn7xqNivXKC+3lw9gnm9FiGX7o3xOyjk3jViijkCuyZewSHlpyCbYXi+H3/eFRpVFGdt/Fd87OwSCD3T3tjTs9l6DC4LUb/PViQwYn6GINlA9fB79YrtHNvgXHrh8HQxEDQ+DFhcVg1fBO8Lz1HrZbVMGGzp9pl1SqS41JweedNnN10BZ+ComBZwhz957qgw5C2vAur1OWD/0dc2nETgc8/IDzgE+IiEv7xuomFEeo71kbbvi3QsEPd77L6Uh2USiXePQnC7aMPcOvofcSExv3jdT0DXdRoXhX12tREnTY1UblBeYh1CvdvAXAl+5sm7Ubwi1AYGOuj83BHeMxxFvw9zcvHV6FYMXQjXj8MQIfBbTFqzSAYGOkL6oOIcH3/HawZsQWlq9tj+c25vPpQyBWY1XUJfK74osOgNtzYxpq9n++VnwZdIESEbdP348hfp1Gqqh2m7RmLKg0r8G7Psiz2zz+OffOPonjZYpixf7zgMn0iwuVdXtg8aTeyMmRwm9UbLlO6aexVsywLnyu+2L/wOF7ee4tytUpjxIoBqO9QW6N+hZCekoGIwEiEvYtAxPsofAqKwoMz3kiKTYGxuRFa9G6KRh3qolqzyrCytfihKjYTopPgc8UX3pee4cllXyTHpUBHIkaTzvVRsV552JSygo29FazsLFGyQvFCvUvKS3jgJ2yevAcPzjxByQrF0ff33mjl0kyw0c2LXCbH4aWncWDhcRiYGGDM2iFo0+dXwf0kRCVizcgtuHfKG9V/qYI5xybBssTXhc2ICKs9N+PCtusYv3E4ung6qvM2fhh+GnQ1eXrND8sHb0B8ZCLcZ0vRd0ZPQR6U/53XWOLxN2LD49F/jgv6zOgh2BuOj0zA+vE7cfvoA5SrVRoTtozQioYLEeHO8YfYOm0fIj9Eo0nn+hj+V3+UrqrZnYC6KOQKPLvujxsH7+L+aW9kpGSCiGBmbYLydcqifO0yqFCnLIqXtYF5MbMc0a3CDEt8aa6x4fH4FBSFyA+c0mJkcDRC34Qj8FkwiAjmNqZo2KEuGnWoh4ZOdXhpjBQGMWFxeHL5ObwvP8fDM0+go6sDt1lS9BzfSeM7ISLCvVOPsWPmQYS+CUfrPr9i1OpBvMXrcnPv1GOsHLYJGamZGDS/D3pN6Mz7XDm64iy2TNmDvjN6YvDCfoLH/tH4adA1ICUhFevGbseNA3dRvVlMCdpcAAAgAElEQVRlLDz/uyD9h9TENKwZtRVeh+6hZvOqmL53HIqXEa6tcf+0N9aO2Ya4iAR0H90B7n9IBenJFIQsU4ZTay9i/8LjyEzLQpu+v6J+u9po1LGeWiemNpDL5Hj9MABBvh85tUW/jwh+EQJZpvwfx4l1xDCzMYWZtQkMjPWhb6QHPUPuoW+gC4m+LsQ6IojFIoh1xBDpiCEWcxeAz4tHALEsiMAJdmXJIc9SQC6T56gwpiamIy0xDWlJ6UhNTENmWtY/5iESMShW2holyhdHnVY10KhjPVSqX+6bXGxYloXfrVfwvvgMjy89Q/ALLj5vbWeJX7o3Qr+ZvbUi5+vr9RLbZuzHm0cBKFXVDp5/eaBJ5waC+yHiROd2zjqISg3KY9ruMShTvRTv9vdOPcafvZejhbQpZh787Zt85kXNT4OuBW4cuINlA9ejRLlimLJzNGr8UoV325wF0zHbAQDDlnmg83AHwaGEtOR0bJ9xAOc2XYGxuSGGLnFHhyFttfIlToxJwt4/j+LmoXtIiU+FvqEeeo7vBNep3WFk9u0FjJQKJcIDIxEbHo/E6KRcj2QkxSYjMy0TmekyZKVnITMtC1npWcjKkIFVsmCVLJQKZfYzCwBgGO4fkYjh/g4MA4meDnT1JJDoSSDR04FETwJdA11OZdHcEEamhjAyN4KRmSGsSnKyubblisGmlNU3Fy8jIjy+8BQ7Zx/C++fB0JGIUatldTRqXxcNO9RF2RqltBK6io9MwMaJu+F16B5s7K3Qf64LHPu3Uiv2HxkcjVXDN+HpNX+0c2uBiVtHQFdfl1dbhVyBg4tOYv/C46jUoDyW35ijNTXJ752f4lxa4vnNF+RWdiQ5iZ1py5Q9gvY7JCKKCIqkye3mkgMjpSkOf9KnD1FqzePDixCa2PoPcmCkNLbZDEGVc19DqVRSwNMgWthvVc62aUf+Ol2oGxj/RDOe3fDP2XDao8JourzrptYrdyOCImnnrIPU3bw/ddTrQ3vmHlG7SlWpVNLJtReoi7EbdTP1oDMbLwuq4FQV9DkwUlrsvqZQ8/O/R/AzbVF7pKdkYMvkPTi/9RrKVLfHlF1jBC2YEhEubL2GLVP2gmVZDF3ijq4jnQR72USEa3tvY8uUPUiOS0GPsZ3Q/08XQXrSXyPw2QfsmHUQ3hefQSRiULF+edRtUxN129ZEzeZVNV5M+4l6EBFiwuLwwe8jTqw5j6fX/GFtZwm3WVJ0GNxGa3cLskwZ7p3yxsXt1/Hsuj9EIgaNO9fH8GUeamddhb4Nx8phm/Di7hs0bF8HEzZ7CpL3/fg6DFMd5kGeJceELSPU3iHpR+ZnyKUQ8L78HCuHbkR8ZCLcZvZGv5m9BJ1I0SExWDl8M3yu+KJ2q+qYsGUE7CvZCp5HSkIqts84gAtbr8HARB/NezVB3+k9YV+5pOC+CuLN4wA8vvAMz2++wOuH76CQKyHWEaNyw/IoXdUe9drVQiuXZt887PBfJSsjC9f23ob/ndcIeR2G0LcROXF8cxtT9JneE11GOGot5JAQlYhDS07h6h4vpCSkoXgZG3QY3BZOA1sL3hpOhSxThoOLT+Lw0lPQM9TDyFUDBe+e9OZxAGZ3XQJGxGDZtTkoW4N/rP2/xE+DXkikJqZh3bjtuL7vDirWK4fJO0ahQp2yvNtTdiHRpkm7IcuQoffEruj3e0+18mffegfizMbLuHPsIeRZcvT6rQvcZvXWOLc4LxlpmXh1/y2e33iBl/ffIvRtBBKjk1CstDV6T+iCjkPb/fTctURYwCec23QFV3Z7ISU+FTalrFCmuj1KVbFDqap2KF3VDpUbVdDa5y2XyXHq74vYN/8YsjJkaNG7CToOaYe6bWtqtE7jd/sVVntuRujbCLRzawHP5f1hUdycd3tZpgx75h7B0eVnYG1vhaVXZmvVYfnR+GnQC5k7xx/i79HbkBKfir4zeqLfzF6C8ovjPiVg2/R9uLb3NqxKWmDYUg+07ddcrUWshKhEbJ9xAJd33YSlrQWGLXVH237NC231n7IX4w4vOw3/O69hYmkMp/6tULNFNVRvVplXHvFPPqNUKPHg7BOc3XgZT6/5Q6wjxq89G6PbqPao3bJ6oeXkPzrvg40TdyM84BOadK4Pz+X9NS5mS0lIxdap+3Bx+3WUKFcM4zcOF7TtIwC8evgOywdvQOibcHQc0g6eyz2+i0X6b8lPg14EJMelYMOEnbi+7w7K1iyFyTtGC4qtA9z2XuvG7UCATxBq/FoFo9cMRqX65dWaz+tHAVg/bjveer+HiaUxareqjrqta6JOmxpay3jIy6sHb3F42Wl4X3yWs19nibI2qNasMqo3rYKSFUvAzNoEptYmMLcxhb6R/g9VNKQtWJZFenIGYkJjER4YiU/vo7jnoMicjbBtSlmh8zBHdBjSVitphvmhVCoR+PQDds89Au+Lz1CqSkmMWDkQjTvW06jf5PgUnNt0FSf/voDk2GT0ntAFHnNdBN1JKOQK7Jt/DAcXnYC1vRUmbBkh+GLwX+WnQS9CHp7zweoRm5EQmQjppG7oP9dZUGyTZVlc2eWF7TP2Iyk2BQ79W2LYUg+1csJZlsXdE4/w+MIz+Hq9QGRwDAAu7tptdAf0+q2zVhdRVcgyZQh89gGvHrzDq4fv8Or+23+V+wOArr4EZtamqNSgPFo5N0PTrg21HiL6HggL+ITr+27j7slHiItIQFpiGlj2n+eaiaUx7CqWgF0lW7R0boYmneoXmgyAKkX12r7bSE/OgJGZITz+cEb3MR00WgeRZcpwaMkpHF1+BpnpWWjgVAdDFvUT7JR8eBGClUM34s3jQDgNbI1RqwcVyvf0R+WnQS9iUhPTsHnyHlzacQMlKxTHhC0jULdNTcF9HFx0AifWnIe+kT4GL+yLTsMdNNJdiQyOhq/XS9w9+QgPz/rA2NwIPcZ2RM9xnQq1kpGIEBsej5jQWCTFpiApJjn7OQkJ0Ul4dt0fcREJkOhJ0LhjXbSUNkPDDnVhavltqis1JSYsDv63X8Hv1iv43XmN0DfhYBgGddrUQKkqdjCxMIKxhTFs7C1hW6EESlYoDhML40KfV1ZGFk6svoBDS04iMz0L7dxaoIFjHTRsX0fjIjWfq774e/Q2RARGopVLM/T7vTfK1y4jqA9ZlhwHF53AoSUnYWRmiLHrh6GVczON5vVf5KdB/0Y8v/kCqzw3IyIwEh0Gt8XwvzwEn7ghb8Kxdsw2PL/xApUbVsC4DcMEh3Ly4+2T9zi4+ATunXwMfSM9dB3hBOmkrt8k5s2yLF7df4tbRx/g9rGHiP/EefPWdpYoVdUOpaqUROlq9ihVpSSs7CxhamUCU0vjIhGyKoi0pDTEhHHKiTGhcYgNi0NEUCRe3nuLyA/RAABDUwPUbF4V9drWQmvXX2BtZ1Xk80xPycDL+2/hf/sVru29jZiwOPzSvRGGLHbTWOYhNTEND84+wc1D9+B98RnsKtli3PqhaukCvbj7GqtHbMHHV2Fo59YCI1cN1Eol9H+Rnwb9G5KVkYW9fx7F0RVnYWZtgtFrBqOlczPBsro3D93D5km7kRCVhE5D26H94Lao2riixjHoDy9CcGjJSXgdugexRAe/9miEMtVLwb6yLcrUKFVo8faCYFkWbx4F4OW9t/jwIgShb8IR8iYc6ckZ/zrW0NQAplYmMLE0hr6hHnQNdKGrL4GegS50DXQh0ZVAJOZK/0W5HgCA3KX/3D9QyJVc6b9cAYWMe2RlyJCRkon0lAxkpGQgPTkD6SkZ/5IhYBgGlrbmqNqkEmq3rI7aLaujXO3Sha5kmZewgE8I8g3Gy3tv4X/3Nd4/+wCWJYjEItRsXhUD/nRF7ZbV1e4/NTENd08+xp3jD/D0qh8UciVs7K3QaZgDXKZ0413pqSLw+Qfsmn0Ij84/hU0pK/y2yVPjGP5/nZ8G/Tsg8NkHrBy2EQFPP6C+Qy2M2zAMdhWF5Z2nJaVh1x+HcWbDZbBKFg2c6mDU6kFaEdQKD/yEw0tPw+eqL6JDYnN+X6tFNQyY54o6rWpoPIa6EBESohIR+iYC8ZGJSI5LyXmkxKciOT4VsgwZZJkyZGXIsv/P6bJ8Lv3PflZ+Lv1nGFXZP/d/HV0dSHR1oJP9kOjqQFdfAgMTAxiaGsDQxAAGxgYwNNGHRXFzWNtb5agnWtqaF6lyYl5ePXiLvfOO4sllXwDc+kS1ppVRq0U11GpRDdWaVtJITlaWKcO5zVf/196dh0ddnQsc/x4yCdl3spOEQAgJi+wBAsimsijghlDttdoWr1at7b2192mv3lb0Pr1WvfVpXUqvS90RUBBBEGRTBMK+BAKE7Otkkkkyk0xmPfePmYyIglkmCZmcz/PMM5PJJHPO80ve+c2Z97wv76xah6HeSFzqIGbcPoUZd0wlY9LQDmdRNTe18OZ/fsDGl7YSFBbIXY8vYckjC1TKazuogH6NsNvsbHr1c974/ftYLbZOl8Q16I1sf2sPb/9xLSZjK7c+upB7nrzDYx8ctbaYqSyo5sTuPD74nw3UV+kZOjaVWXflcP2yqcQPifXI8yhdd2kgD4sO4Y5f38K4eWMYMjrZI3XlbVYb297YxbtPr6e2vI6xc0Zx39MryMxO7/Q7t30bcvnbI69RV6ln8UM38ZNVyztU8K6/UwH9GqOrrOflx97gy3UHSM5M5Fd/f4BR0zM7/Hsaaht5/Xfvs/X1nUTEhnHHvy1mzMxM0q5L8djZotlkZuvru/ji3b2cPXABgBHZ6cxaNo3pt2UTkxzdL1MPe4PFbKUkr4yCY0VcOFrE+cMFnDt0kbDoEJb9Zgm3PHijx5o62O12dr73FW//cS1VhTVkTknnvqdXMG7O6E79PoPeyK7397H1jZ1cOFLo0VLQ/Y0K6Neog5uP8NeHX6OmpJbrl01l2W+WMHxCxz/wPHeogJd++bo74PoO9CV9/BAys9OZ/9O5HtsiXV2sZc+H+9m9Zh8Fx4oA0Pj6EBEXTlR8BJHxEUTGhROdGMW0pZMYMirZI8/b39isNvZtOMT5wxdp0jXRWGegpqSWkrxy7DY74GxXN3RsKlNunuCxQC6l5Mj2k3y1/gDHd+dRcaGKoWNTuW/VciYvHN+pF+6CY0Ws+fNG9n2ci9VsJe26FBb9/AYW/nyuKhXRST0S0IUQxYABsAO2H3pCFdCdTM2tvLtqHZtX76C5sYVbHryR+55e0eG3oG0Fm/IPXuDsgQvk517g/OGL2Cw25t4zk2W/WeLR2hfl5ys5vO0Euoo66qsbqKvSU1+lp77KucYNMHpmJosfvImcW7u3f6k3kFJSdq6SL9cf4NNXP0dXUY/Gt63eeyhRCREMvS6VYePTGDYulfi0WI/u/i06VcKr//4WR7efJCgskOETh7Jo5Q3MuD27U8+jq6xnzZ828MnLWwkMDWTu3TOYf/+cTvUXVb6tJwP6RCml7oceCyqgX879gedLWwmNDmXln3/MvHtmdmk5o6nOwHvPrGfz6h20tpiZungiy3+7lKyp7a/l3hmNuiZ3/9LqIi0RsWEs/Nk8Ji8cR0pWUr/fut2mtcXMid155G45Su5nx9zpjuPnjebWRxcxeeG4bm/YoC2t5Z1V69n2xk6CwgK554k7ueWhGzv9Alx0qoS1L2xi13tf4bA7WLTyBu57ZkWP5Nn3Fyqg9yEFx4p48aF/kH/wAqNnZnLro4u4blZWlzbZNNUZ2PjSVjb89TOa6gyMnpHJ7b+6mfQJaUQlRHRbap3D4eDwthNsemUbBzcfpe3vKzox0pkSmZXE4BGJhA0KJSQymJCIYIIjggiJCOrTZQEcDgfmFjMmYysmYyuGeiO6inp0rrx1XUUd2lId5w9fxNJqxT9wIOPmjWbygvFMXjC2Q+VkO8JitnLxeDFn95/n7MHznNl/Hm2pDo2vD4sfms/dT9zeqb8zKSXHvjjF2uc/4fC2E/gHDmT+/XO47bFFxKepD9A9racCehGgByTwdynl6qs9XgX0K3M4HGx9bSev/e49muoMCCHImDSUe59a3qV6FqbmVra+tpO1z3/i7kDv66chNnUQ02/N5s7fLO623Zm6ijouHC2i5Ew5JWfKKMkro/RsBWaT5XsfP2CAcHUO8sXP/5trH18fAkMDSR83hBHZ6YyYPIzE9PhuD/52m53Ki9UU55VTfKqUMwec5QxsFhs2qx2bxYbVYnN2TrqsRd2lfP00RCdFEZ0YybBxQ8heNJ7RMzI7nL/dXs1NLXz84hZ2r9lHZUG1u8bOoMFRZLlq7Ey5ZQIJQ+M6/LvtNjubV+9g3QubqCqsISI2jKWPLOTmf72hz+7y7Qt6KqAnSCkrhRAxwHbgESnl3ssesxJYCZCcnDyhpKSk08/XH1gtVs4dusjxnafZ/vYeKguqyVk6iQeev7dLqYM2q41TX56lsqCaqsIaivPKyN1yjMDQAJb8Yj5z75nZI82i7XY7dRX1NNUZMeiNGPXNGPTNGPVGWppMWM1Wdz65xWzF0mrBZrXTpDNw4WihO3D6+fuSlJHAoKQoohO/yQ0Pjwlz9xn1D/Rz9xsVAuy2S9vSOQOyQd/sym830qRroqnOgK6i3rXBqRKr2bmZSAhBSlYSCcPi8B3oylvXOK8Dgv3d/U0Dgv3xD/YnODzIObakSMKiQ3vknUdri5lPXtrKmmc30lRnYNzc0e4Xwcwp6V3etXpiTx4v//INCk+WMDIng/n3z2XOj6Z7JFVSuboez3IRQvwBMEopn7vSY9QZesdYzFY++t9Peffp9disNq6bPYqcpZOZungi0QmRXf79hSdLePPJDziw6QhSSoaOTWX28unMumtap5padze7zU7p2XLycwsoySujoqDauZxRXkejzuCR5/DR+BAZH07qqGRSs5JIHZVMysjBJGcmXpMbYCxmK6Vnyjm+6zQf/nkj+ppGJs0fy71/vIuMScM88hzaMh3/ePxtdq/5mpjkaB547l+YcfuUPrs81hd1e0AXQgQBA6SUBtft7cBTUsqtV/oZFdA7p7a8jg1//Yx9G3KpuFAFOPPCc5ZOZsINzg0lXUkH01XWs3etMzWxLQ0ya1oG6eOGEB4TRkRsGOExbZdQ4obE9Pj29h9iNpmpq9TToG3EbLJgbmse7WogDThLAmh88NE4ywFofDUERwQ568REBRMaFUJgSMA1F6hMza1oS2qd7yLqDFRcqKLwZAkXTxRTll/pTmscc30W961a3qn9DW2klBTnlVF0qpSiU6UUny7l+M7TOBwO7np8KcseX4J/YP9ozHwt6YmAngZ87PpSA7wnpXzmaj+jAnrXSCkpPVvOVx/n8vVGZ84yQHxaLD/7090eOWuqKqphz5qv2bv+ANWFNRj0zd95THxaLEsfWcD8++d4Zenba4W2tJaP/rKZLf/3BSZj67e+F50YSdp1KaSNSWXodSkMHZtK0vCELh3/0/vyefXXb3LukPPvykfjw+CMBEZkp3PPE3d8513bs8/CpEkwe/Y39+3aBYcOweOPd3oYyvdQG4v6AW2ZjpN7zrDm2Q0Uny5jZE4GDzx3r0d34lktVhprm2jQNqHXNlJbquPzt3aTt+8cgaEBLPzZPJY+suCaXKLpi6oKazi45Si5W45ydMcppJTMumsaU26eSGhUMCGRwcSlxnis9LGl1cLedQfY9Mo2zuw/T1RCBHf//nZG5owgKSPhquvju3bBsmXw4YfOoH7514rnqIDej9htdra9sYs3n/wAfU0js1fkMPdHM0jOTCImJbpblkfycy+w/i+b2bt2PwBj54xiyKhkkkckkpzp7H+pSqFenclooq6qgeoiLYe3HSf3s2OU5VcAkJgez7TFE1nycPe8WFYXa9n89+189toXNOoMJKbHs/jBm1jw8471h20L4g8+CK+8ooJ5d1EBvR9qMZj48NmNrHthkzs10M/fl6ThCSRnJpI0PIHMKcOZNH+sx9aJtWU6Nv5tK0e2n6D8XOW3UhJDo0KIjAsnMCyQoLBAgkIDCAoNJCAkwJ2WqPHTEBgSwNg5o3oky6Y7act0HN1+EkO9EUurFbPJ7FzLN1lct8006gzu3bUthm/KA/v6aRh9fRbZC8czeeF4ktI7VpXzauqq9Oz+YB/aUh21FXXUluo4d+giQsDUxRNZ/ND8LjWFfvJJWLUKnngCnnrKY8NWLqECej/W3NhMcV45pWfLKT1bQWl+OWX5lVQXaZFSMiI7nftWLWfc3NEe/QDQ4XCgLdVRll9BWX4lpfkVNNQ2OuuJN7XQ3Njium3C4ipze6nYlEGMnT2KkTkZjMwZweCMrq0JdzdTcyuFJ0rI3XKUA5uPUHji2ym5A3wG4B84kIGBfu567aFRIe76N1EJkUTFRxCVGElm9jCPFdlqo69p4KMXt/Dxi5sxmyz4Bw1kUFIUUYmRZE0ZzqKV87q8oUmdofcMFdCV77C0Wtjxzpe8s2ottWV1zqyIp1cwKmdEr4zHbrdjNdto0DaSu+UYR3ec4NSX+e66MGHRIWRNyyAlM8lZh9yV1z0oKYqwQaHdvkXebrdj1De7W+hVXqymJK+MkrPllJ4pd/drHeAzgJE5GUy9eSKTF44jJjnaVVu95/OzTUYT+zYc4ot39zrX4B2S2Sty+PF/LSNxWJxHXyDVGnrPUQFduSKL2cqW1Tt477/Xo69pJH1CGmmjUxjsWv9OzkwkLjWmV9q9tRWsOv1VPnlf53Pm63NUFWrdqXltfDQ+BIb4OxtRhAQQ4LrtHzgQH18fNL4++Gh80Gh88HGldEqHw9mtyOHAISUOuwNLq3PzksXkapTRasVkMNGoM2DUN3P5/4fvQF8Gj0ggJSuJlMzBpIxMYsz1XSvT0Fk2q41GnYEGbSPVRVr2rtvP1xsO0dpiJjZlEHN+NJ15P76+25ayVJZLz1EBXflBpuZWNr28jdzPjlF6thx9TaP7e75+GsIGhRIYGkBQWCBZUzO47bFFxAyO7vFxOhwOGrSN1JbXoyuvo7a8jrpKPS1NLZiMl7SKM7RibjE7d4Fa7Thc1zar/ZtuRQMEAwYMcF0LfP2/3cJuYIAf/kEDCYt2VjwMjQ5xXkcFE5saQ3xa7+TgVxdr+fjFLeTnXqCpzvmO4fKU0pCIIGbeOY1598wga1pGt7+DUXqOCuhKhxn0Rlc/z0rK8ito0jXR3NSCod7IqS/zAZi9IodZd+Uwbs6obqtFonzj3OGLrHv+E/au3e/uEdpWXjc8JozwQaHuzV8Zk4epksVeSgV0xaO0pbWse+FTtr6+E5OxFf+ggUy4YQxTbp5I9qLxRMSG9/YQvUKjronCkyUUnSpl34ZcTu45Q2BoADc/cCO3Prqgy/VYlL5JBXSlW1haLZzYncf+TUc48OlhasvqEEIweEQC0YmRrgyOCFc3o3ACQwPdyxmXLm1ofH3Q+GkIiQi+pjNZOsPhcGBsaHZWZXRVZHRXZjS20tzYgrGhBWNDM82NLTTpmig+U07RqVLqq/Tu3xM3JIalDy9g/k/neKx3rNI3qYCudDspJRdPFHNg0xEKjhVSV9VAfZUefXWDu2TrD4lLHcS0JZOZfls2WdOGX3M1YtqrxWDi6I6THNzs3OVZX93Q7p8dGODH4BGJDBmTTNroFNLGpDBkdLJ616O4qYCu9BopJQa90b15xp1Bckkmid1qo7XFwsk9eRz5/ARWiw1fPw0jpqQzbOwQho1zXpIzE6+5PpQ2q42aklqqCrWU5JVxaNtxTu7Ow2qxERgawMSbxpI1ZTh+AX74+mlcKYwafHx9CHCV1g0KCyTIda3Kzyo/RAV0pc9oMZg48vkJTu45w7nDBRSdLKW1xVkh0ddPw6DBUYTHhhMRG0ZETBgRseGEx4S5a5A7L87bfgF++FxWVbEt/VJKicMhQUp3+qLFbMNqtrouztvmFrOzRntDM8ZLrrVlOqoKa9CW6r61KWpwRgLZiyaQvWg8o6aPuOZegJS+TwV0pc+y2+2Un6/i4rEiLh4vRlteR0NNA/qaRvQ1je6NRz2l7aw6KjGS+LQYEtLiiEuLJWFoLAnD4jxSm15RrkYFdMVr2aw2muoMmIzO1m+tzc46Ka3NZswmCw67w92VyHlxnk2LAcKZiy5ADBiAEHyn5Z3vQA0DA/wIjggmJMK5JKLOuJXe1t6Arv5SlT5H46shMi6it4ehKNcctZVMURTFS6iAriiK4iVUQFcURfESKqAriqJ4CRXQFUVRvIQK6IqiKF5CBXRFURQvoQK6oiiKl1ABXVEUxUuogK4oiuIlVEBXFEXxEiqgK4qieAkV0BVFUbxElwK6EGK+EOKcEKJACPEfnhqUoiiK0nGdDuhCCB/gJWABkAWsEEJkeWpgiqIoSsd05Qx9MlAgpSyUUlqAD4AlnhmWoiiK0lFdCeiJQNklX5e77lMURVF6QVc6Fonvue87/eyEECuBla4vzUKI0114zr4gGtD19iC6kbfPD9QcvYU3zTGlPQ/qSkAvBwZf8nUSUHn5g6SUq4HVAEKIw+3pi9eXefscvX1+oOboLfrDHC/XlSWXQ0C6EGKIEMIPWA584plhKYqiKB3V6TN0KaVNCPEwsA3wAV6XUuZ5bGSKoihKh3RlyQUp5RZgSwd+ZHVXnq+P8PY5evv8QM3RW/SHOX6LkPI7n2MqiqIofZDa+q8oiuIleiSg94cSAUKIYiHEKSHEcSHE4d4ejycIIV4XQmgvTTUVQkQKIbYLIS64riN6c4xddYU5/kEIUeE6lseFEAt7c4xdIYQYLITYJYQ4K4TIE0L80nW/1xzHq8zRa45je3X7kourRMB54AacqY6HgBVSyjPd+sQ9TAhRDEyUUnpL3itCiJmAEXhLSjnKdd+zQL2U8k+uF+cIKeVve3OcXXGFOf4BMEopn+vNsXmCECIeiJdSHhVChABHgKXAT/CS43iVOS7DS45je/XEGboqEdBHSSn3AvWX3b0E+Kfr9jbHXX8AAAHHSURBVD9x/uP0WVeYo9eQUlZJKY+6bhuAszh3dHvNcbzKHPudngjo/aVEgAQ+F0Icce2O9VaxUsoqcP4jATG9PJ7u8rAQ4qRrSabPLkdcSgiRCowDDuKlx/GyOYIXHser6YmA3q4SAV4gR0o5Hmf1yV+43sorfdMrwFBgLFAFPN+7w+k6IUQwsB54TErZ1Nvj6Q7fM0evO44/pCcCertKBPR1UspK17UW+BjnUpM3qnGtWbatXWp7eTweJ6WskVLapZQO4B/08WMphPDFGejelVJ+5Lrbq47j983R245je/REQPf6EgFCiCDXhzEIIYKAGwFvLUL2CXCv6/a9wMZeHEu3aAt0LrfSh4+lEEIArwFnpZQvXPItrzmOV5qjNx3H9uqRjUWudKG/8E2JgGe6/Ul7kBAiDedZOTh3377nDXMUQrwPzMJZta4G+C9gA/AhkAyUAndKKfvsh4pXmOMsnG/TJVAMPNC23tzXCCGmA18CpwCH6+7f4Vxj9orjeJU5rsBLjmN7qZ2iiqIoXkLtFFUURfESKqAriqJ4CRXQFUVRvIQK6IqiKF5CBXRFURQvoQK6oiiKl1ABXVEUxUuogK4oiuIl/h/4CYZ/MKhA8wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "means,sigma2 = estimateGaussian(X,isCovariance = False)\n",
    "plotGaussian(X,means,sigma2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "means,sigma2 = estimateGaussian(X,isCovariance = True)\n",
    "plotGaussian(X,means,sigma2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. 阈值epsilon选取"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "def selectThreshold(yval,p):\n",
    "    bestEpsilon = 0\n",
    "    bestF1 = 0\n",
    "    epsilons = np.linspace(min(p),max(p),1000)\n",
    "    for e in epsilons:\n",
    "        p_ = p < e\n",
    "        tp = np.sum((yval == 1) & (p_ == 1))\n",
    "        fp = np.sum((yval == 0) & (p_ == 1))\n",
    "        fn = np.sum((yval == 1) & (p_ == 0))\n",
    "        prec = tp / (tp + fp) if (tp+fp) else 0\n",
    "        rec = tp / (tp + fn) if (tp+fn) else 0\n",
    "        F1_e = 2 * prec * rec / (prec + rec) if (prec + rec) else 0\n",
    "        if F1_e > bestF1:\n",
    "            bestF1 = F1_e\n",
    "            bestEpsilon = e\n",
    "    return bestEpsilon,bestF1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "means,sigma2 = estimateGaussian(X,isCovariance = True)\n",
    "pval = gaussian(Xval,means,sigma2)\n",
    "bestEpsilon,bestF1 = selectThreshold(yval,pval)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(9.074844572965703e-05, 0.8750000000000001)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bestEpsilon,bestF1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0xb1f9ee978>"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "p = gaussian(X,means,sigma2)\n",
    "anoms = np.array([X[i] for i in range(X.shape[0]) if p[i] <bestEpsilon])\n",
    "plotGaussian(X,means,sigma2)\n",
    "plt.scatter(anoms[:,0],anoms[:,1],c='r',marker='o')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 案例2: 高维数据的异常检测\n",
    "## 数据集：data/ex8data1.mat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1000, 11)"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mat = sio.loadmat( 'data/ex8data2.mat' )\n",
    "X2 = mat['X']\n",
    "Xval2, yval2 = mat['Xval'], mat['yval']\n",
    "X2.shape "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "122"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "means,sigma2 = estimateGaussian(X2,isCovariance=True)\n",
    "pval = gaussian(Xval2,means,sigma2)\n",
    "bestEpsilon,bestF1 = selectThreshold(yval2,pval)\n",
    "p = gaussian(X2,means,sigma2)\n",
    "anoms = [X2[i] for i in range(len(X2)) if p[i] < bestEpsilon]\n",
    "len(anoms)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "ename": "ValueError",
     "evalue": "operands could not be broadcast together with shapes (100,11) (2,) ",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mValueError\u001b[0m                                Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-37-e29635a7f2bb>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0mmeans\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0msigma2\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mestimateGaussian\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0misCovariance\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mpval\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mgaussian\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mXval2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mmeans\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0msigma2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      3\u001b[0m \u001b[0mbestEpsilon\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mbestF1\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mselectThreshold\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0myval2\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mpval\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      4\u001b[0m \u001b[0mp\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mgaussian\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0mmeans\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0msigma2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      5\u001b[0m \u001b[0manoms\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mlen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mX\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mp\u001b[0m \u001b[0;34m<\u001b[0m \u001b[0mbestEpsilon\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m<ipython-input-13-02cda966093e>\u001b[0m in \u001b[0;36mgaussian\u001b[0;34m(X, means, sigma2)\u001b[0m\n\u001b[1;32m      4\u001b[0m         \u001b[0msigma2\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mdiag\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msigma2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      5\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 6\u001b[0;31m     \u001b[0mX\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mX\u001b[0m \u001b[0;34m-\u001b[0m \u001b[0mmeans\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      7\u001b[0m     \u001b[0mn\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mX\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m1\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      8\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mValueError\u001b[0m: operands could not be broadcast together with shapes (100,11) (2,) "
     ]
    }
   ],
   "source": [
    "\n",
    "pval = gaussian(Xval2,means,sigma2)\n",
    "bestEpsilon,bestF1 = selectThreshold(yval2,pval)\n",
    "p = gaussian(X,means,sigma2)\n",
    "anoms = [X[i] for i in range(len(X)) if p < bestEpsilon]\n",
    "len(anoms)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
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